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Finding the Third Proportional to 124,724 and 275,698

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Solution

The third proportional to 124,724 and 275,698 is: 609,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,724 : 275,698 = 275,698 : x
  2. Step 2: Convert to fraction form
    124,724/275,698 = 275,698/x
  3. Step 3: Cross multiply
    124,724x = 275,698 × 275,698
  4. Step 4: Simplify right side
    124,724x = 76,009,387,204
  5. Step 5: Solve for x
    x = 76,009,387,204/124,724
  6. Step 6: Final answer
    x = 609,420.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.