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Finding the Third Proportional to 63,877 and 96,706

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Solution

The third proportional to 63,877 and 96,706 is: 146,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,877 : 96,706 = 96,706 : x
  2. Step 2: Convert to fraction form
    63,877/96,706 = 96,706/x
  3. Step 3: Cross multiply
    63,877x = 96,706 × 96,706
  4. Step 4: Simplify right side
    63,877x = 9,352,050,436
  5. Step 5: Solve for x
    x = 9,352,050,436/63,877
  6. Step 6: Final answer
    x = 146,407.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.