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Finding the Third Proportional to 42,313 and 90,060

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Solution

The third proportional to 42,313 and 90,060 is: 191,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,313 : 90,060 = 90,060 : x
  2. Step 2: Convert to fraction form
    42,313/90,060 = 90,060/x
  3. Step 3: Cross multiply
    42,313x = 90,060 × 90,060
  4. Step 4: Simplify right side
    42,313x = 8,110,803,600
  5. Step 5: Solve for x
    x = 8,110,803,600/42,313
  6. Step 6: Final answer
    x = 191,685.86

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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.