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Finding the Third Proportional to 106,011.75 and 163,938.75

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Solution

The third proportional to 106,011.75 and 163,938.75 is: 253,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,011.75 : 163,938.75 = 163,938.75 : x
  2. Step 2: Convert to fraction form
    106,011.75/163,938.75 = 163,938.75/x
  3. Step 3: Cross multiply
    106,011.75x = 163,938.75 × 163,938.75
  4. Step 4: Simplify right side
    106,011.75x = 26,875,913,751.56
  5. Step 5: Solve for x
    x = 26,875,913,751.56/106,011.75
  6. Step 6: Final answer
    x = 253,518.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.