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Finding the Third Proportional to 60,210 and 89,443

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Solution

The third proportional to 60,210 and 89,443 is: 132,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,210 : 89,443 = 89,443 : x
  2. Step 2: Convert to fraction form
    60,210/89,443 = 89,443/x
  3. Step 3: Cross multiply
    60,210x = 89,443 × 89,443
  4. Step 4: Simplify right side
    60,210x = 8,000,050,249
  5. Step 5: Solve for x
    x = 8,000,050,249/60,210
  6. Step 6: Final answer
    x = 132,869.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.