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Finding the Third Proportional to 62,182 and 98,892

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Solution

The third proportional to 62,182 and 98,892 is: 157,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,182 : 98,892 = 98,892 : x
  2. Step 2: Convert to fraction form
    62,182/98,892 = 98,892/x
  3. Step 3: Cross multiply
    62,182x = 98,892 × 98,892
  4. Step 4: Simplify right side
    62,182x = 9,779,627,664
  5. Step 5: Solve for x
    x = 9,779,627,664/62,182
  6. Step 6: Final answer
    x = 157,274.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.