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Finding the Third Proportional to 62,147 and 98,453

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Solution

The third proportional to 62,147 and 98,453 is: 155,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,147 : 98,453 = 98,453 : x
  2. Step 2: Convert to fraction form
    62,147/98,453 = 98,453/x
  3. Step 3: Cross multiply
    62,147x = 98,453 × 98,453
  4. Step 4: Simplify right side
    62,147x = 9,692,993,209
  5. Step 5: Solve for x
    x = 9,692,993,209/62,147
  6. Step 6: Final answer
    x = 155,968.80

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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.