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Finding the Third Proportional to 42,435 and 88,354.13

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Solution

The third proportional to 42,435 and 88,354.13 is: 183,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,435 : 88,354.13 = 88,354.13 : x
  2. Step 2: Convert to fraction form
    42,435/88,354.13 = 88,354.13/x
  3. Step 3: Cross multiply
    42,435x = 88,354.13 × 88,354.13
  4. Step 4: Simplify right side
    42,435x = 7,806,451,404.52
  5. Step 5: Solve for x
    x = 7,806,451,404.52/42,435
  6. Step 6: Final answer
    x = 183,962.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.