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Finding the Third Proportional to 42,487 and 93,361

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Solution

The third proportional to 42,487 and 93,361 is: 205,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,487 : 93,361 = 93,361 : x
  2. Step 2: Convert to fraction form
    42,487/93,361 = 93,361/x
  3. Step 3: Cross multiply
    42,487x = 93,361 × 93,361
  4. Step 4: Simplify right side
    42,487x = 8,716,276,321
  5. Step 5: Solve for x
    x = 8,716,276,321/42,487
  6. Step 6: Final answer
    x = 205,151.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.