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Finding the Third Proportional to 60,624 and 132,525

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Solution

The third proportional to 60,624 and 132,525 is: 289,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,624 : 132,525 = 132,525 : x
  2. Step 2: Convert to fraction form
    60,624/132,525 = 132,525/x
  3. Step 3: Cross multiply
    60,624x = 132,525 × 132,525
  4. Step 4: Simplify right side
    60,624x = 17,562,875,625
  5. Step 5: Solve for x
    x = 17,562,875,625/60,624
  6. Step 6: Final answer
    x = 289,701.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.