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Finding the Third Proportional to 89,770.50 and 136,521

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Solution

The third proportional to 89,770.50 and 136,521 is: 207,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,770.50 : 136,521 = 136,521 : x
  2. Step 2: Convert to fraction form
    89,770.50/136,521 = 136,521/x
  3. Step 3: Cross multiply
    89,770.50x = 136,521 × 136,521
  4. Step 4: Simplify right side
    89,770.50x = 18,637,983,441
  5. Step 5: Solve for x
    x = 18,637,983,441/89,770.50
  6. Step 6: Final answer
    x = 207,618.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.