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Finding the Third Proportional to 62,984 and 98,302

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Solution

The third proportional to 62,984 and 98,302 is: 153,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,984 : 98,302 = 98,302 : x
  2. Step 2: Convert to fraction form
    62,984/98,302 = 98,302/x
  3. Step 3: Cross multiply
    62,984x = 98,302 × 98,302
  4. Step 4: Simplify right side
    62,984x = 9,663,283,204
  5. Step 5: Solve for x
    x = 9,663,283,204/62,984
  6. Step 6: Final answer
    x = 153,424.41

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Why These Related Problems?

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