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Finding the Third Proportional to 99,747.70 and 157,925.32

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Solution

The third proportional to 99,747.70 and 157,925.32 is: 250,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,747.70 : 157,925.32 = 157,925.32 : x
  2. Step 2: Convert to fraction form
    99,747.70/157,925.32 = 157,925.32/x
  3. Step 3: Cross multiply
    99,747.70x = 157,925.32 × 157,925.32
  4. Step 4: Simplify right side
    99,747.70x = 24,940,406,795.81
  5. Step 5: Solve for x
    x = 24,940,406,795.81/99,747.70
  6. Step 6: Final answer
    x = 250,034.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.