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Finding the Third Proportional to 99,750 and 157,928

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Solution

The third proportional to 99,750 and 157,928 is: 250,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,750 : 157,928 = 157,928 : x
  2. Step 2: Convert to fraction form
    99,750/157,928 = 157,928/x
  3. Step 3: Cross multiply
    99,750x = 157,928 × 157,928
  4. Step 4: Simplify right side
    99,750x = 24,941,253,184
  5. Step 5: Solve for x
    x = 24,941,253,184/99,750
  6. Step 6: Final answer
    x = 250,037.63

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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.