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Finding the Third Proportional to 59,970 and 87,651

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Solution

The third proportional to 59,970 and 87,651 is: 128,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,970 : 87,651 = 87,651 : x
  2. Step 2: Convert to fraction form
    59,970/87,651 = 87,651/x
  3. Step 3: Cross multiply
    59,970x = 87,651 × 87,651
  4. Step 4: Simplify right side
    59,970x = 7,682,697,801
  5. Step 5: Solve for x
    x = 7,682,697,801/59,970
  6. Step 6: Final answer
    x = 128,109.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.