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Finding the Third Proportional to 63,730 and 93,341

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Solution

The third proportional to 63,730 and 93,341 is: 136,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,730 : 93,341 = 93,341 : x
  2. Step 2: Convert to fraction form
    63,730/93,341 = 93,341/x
  3. Step 3: Cross multiply
    63,730x = 93,341 × 93,341
  4. Step 4: Simplify right side
    63,730x = 8,712,542,281
  5. Step 5: Solve for x
    x = 8,712,542,281/63,730
  6. Step 6: Final answer
    x = 136,710.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.