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Finding the Third Proportional to 89,010 and 124,443

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Solution

The third proportional to 89,010 and 124,443 is: 173,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,010 : 124,443 = 124,443 : x
  2. Step 2: Convert to fraction form
    89,010/124,443 = 124,443/x
  3. Step 3: Cross multiply
    89,010x = 124,443 × 124,443
  4. Step 4: Simplify right side
    89,010x = 15,486,060,249
  5. Step 5: Solve for x
    x = 15,486,060,249/89,010
  6. Step 6: Final answer
    x = 173,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.