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Finding the Third Proportional to 106,302.38 and 163,113.75

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Solution

The third proportional to 106,302.38 and 163,113.75 is: 250,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,302.38 : 163,113.75 = 163,113.75 : x
  2. Step 2: Convert to fraction form
    106,302.38/163,113.75 = 163,113.75/x
  3. Step 3: Cross multiply
    106,302.38x = 163,113.75 × 163,113.75
  4. Step 4: Simplify right side
    106,302.38x = 26,606,095,439.06
  5. Step 5: Solve for x
    x = 26,606,095,439.06/106,302.38
  6. Step 6: Final answer
    x = 250,286.93

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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.