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Finding the Third Proportional to 42,495 and 93,414

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Solution

The third proportional to 42,495 and 93,414 is: 205,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,495 : 93,414 = 93,414 : x
  2. Step 2: Convert to fraction form
    42,495/93,414 = 93,414/x
  3. Step 3: Cross multiply
    42,495x = 93,414 × 93,414
  4. Step 4: Simplify right side
    42,495x = 8,726,175,396
  5. Step 5: Solve for x
    x = 8,726,175,396/42,495
  6. Step 6: Final answer
    x = 205,345.93

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Why These Related Problems?

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