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Finding the Third Proportional to 62,144 and 98,448

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Solution

The third proportional to 62,144 and 98,448 is: 155,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,144 : 98,448 = 98,448 : x
  2. Step 2: Convert to fraction form
    62,144/98,448 = 98,448/x
  3. Step 3: Cross multiply
    62,144x = 98,448 × 98,448
  4. Step 4: Simplify right side
    62,144x = 9,692,008,704
  5. Step 5: Solve for x
    x = 9,692,008,704/62,144
  6. Step 6: Final answer
    x = 155,960.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.