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Finding the Third Proportional to 52,561 and 79,470

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Solution

The third proportional to 52,561 and 79,470 is: 120,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561 : 79,470 = 79,470 : x
  2. Step 2: Convert to fraction form
    52,561/79,470 = 79,470/x
  3. Step 3: Cross multiply
    52,561x = 79,470 × 79,470
  4. Step 4: Simplify right side
    52,561x = 6,315,480,900
  5. Step 5: Solve for x
    x = 6,315,480,900/52,561
  6. Step 6: Final answer
    x = 120,155.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.