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Finding the Third Proportional to 42,308 and 62,230

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Solution

The third proportional to 42,308 and 62,230 is: 91,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308 : 62,230 = 62,230 : x
  2. Step 2: Convert to fraction form
    42,308/62,230 = 62,230/x
  3. Step 3: Cross multiply
    42,308x = 62,230 × 62,230
  4. Step 4: Simplify right side
    42,308x = 3,872,572,900
  5. Step 5: Solve for x
    x = 3,872,572,900/42,308
  6. Step 6: Final answer
    x = 91,532.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.