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Finding the Third Proportional to 106,980.75 and 163,333.13

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Solution

The third proportional to 106,980.75 and 163,333.13 is: 249,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980.75 : 163,333.13 = 163,333.13 : x
  2. Step 2: Convert to fraction form
    106,980.75/163,333.13 = 163,333.13/x
  3. Step 3: Cross multiply
    106,980.75x = 163,333.13 × 163,333.13
  4. Step 4: Simplify right side
    106,980.75x = 26,677,709,722.27
  5. Step 5: Solve for x
    x = 26,677,709,722.27/106,980.75
  6. Step 6: Final answer
    x = 249,369.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.