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Finding the Third Proportional to 42,342 and 90,309

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Solution

The third proportional to 42,342 and 90,309 is: 192,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342 : 90,309 = 90,309 : x
  2. Step 2: Convert to fraction form
    42,342/90,309 = 90,309/x
  3. Step 3: Cross multiply
    42,342x = 90,309 × 90,309
  4. Step 4: Simplify right side
    42,342x = 8,155,715,481
  5. Step 5: Solve for x
    x = 8,155,715,481/42,342
  6. Step 6: Final answer
    x = 192,615.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.