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Finding the Third Proportional to 99,557.62 and 157,723.49

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Solution

The third proportional to 99,557.62 and 157,723.49 is: 249,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,557.62 : 157,723.49 = 157,723.49 : x
  2. Step 2: Convert to fraction form
    99,557.62/157,723.49 = 157,723.49/x
  3. Step 3: Cross multiply
    99,557.62x = 157,723.49 × 157,723.49
  4. Step 4: Simplify right side
    99,557.62x = 24,876,700,141.85
  5. Step 5: Solve for x
    x = 24,876,700,141.85/99,557.62
  6. Step 6: Final answer
    x = 249,872.38

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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.