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Finding the Third Proportional to 62,972 and 98,284

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Solution

The third proportional to 62,972 and 98,284 is: 153,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,972 : 98,284 = 98,284 : x
  2. Step 2: Convert to fraction form
    62,972/98,284 = 98,284/x
  3. Step 3: Cross multiply
    62,972x = 98,284 × 98,284
  4. Step 4: Simplify right side
    62,972x = 9,659,744,656
  5. Step 5: Solve for x
    x = 9,659,744,656/62,972
  6. Step 6: Final answer
    x = 153,397.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.