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Finding the Third Proportional to 62,007 and 98,546

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Solution

The third proportional to 62,007 and 98,546 is: 156,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,007 : 98,546 = 98,546 : x
  2. Step 2: Convert to fraction form
    62,007/98,546 = 98,546/x
  3. Step 3: Cross multiply
    62,007x = 98,546 × 98,546
  4. Step 4: Simplify right side
    62,007x = 9,711,314,116
  5. Step 5: Solve for x
    x = 9,711,314,116/62,007
  6. Step 6: Final answer
    x = 156,616.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.