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Finding the Third Proportional to 124,769 and 175,732

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Solution

The third proportional to 124,769 and 175,732 is: 247,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769 : 175,732 = 175,732 : x
  2. Step 2: Convert to fraction form
    124,769/175,732 = 175,732/x
  3. Step 3: Cross multiply
    124,769x = 175,732 × 175,732
  4. Step 4: Simplify right side
    124,769x = 30,881,735,824
  5. Step 5: Solve for x
    x = 30,881,735,824/124,769
  6. Step 6: Final answer
    x = 247,511.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.