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Finding the Third Proportional to 62,984 and 98,306

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Solution

The third proportional to 62,984 and 98,306 is: 153,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,984 : 98,306 = 98,306 : x
  2. Step 2: Convert to fraction form
    62,984/98,306 = 98,306/x
  3. Step 3: Cross multiply
    62,984x = 98,306 × 98,306
  4. Step 4: Simplify right side
    62,984x = 9,664,069,636
  5. Step 5: Solve for x
    x = 9,664,069,636/62,984
  6. Step 6: Final answer
    x = 153,436.90

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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.