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Finding the Third Proportional to 42,588 and 87,909

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Solution

The third proportional to 42,588 and 87,909 is: 181,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,588 : 87,909 = 87,909 : x
  2. Step 2: Convert to fraction form
    42,588/87,909 = 87,909/x
  3. Step 3: Cross multiply
    42,588x = 87,909 × 87,909
  4. Step 4: Simplify right side
    42,588x = 7,727,992,281
  5. Step 5: Solve for x
    x = 7,727,992,281/42,588
  6. Step 6: Final answer
    x = 181,459.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.