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Finding the Third Proportional to 89,005.50 and 136,154.25

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Solution

The third proportional to 89,005.50 and 136,154.25 is: 208,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,005.50 : 136,154.25 = 136,154.25 : x
  2. Step 2: Convert to fraction form
    89,005.50/136,154.25 = 136,154.25/x
  3. Step 3: Cross multiply
    89,005.50x = 136,154.25 × 136,154.25
  4. Step 4: Simplify right side
    89,005.50x = 18,537,979,793.06
  5. Step 5: Solve for x
    x = 18,537,979,793.06/89,005.50
  6. Step 6: Final answer
    x = 208,279.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.