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Finding the Third Proportional to 99,750 and 157,930.50

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Solution

The third proportional to 99,750 and 157,930.50 is: 250,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,750 : 157,930.50 = 157,930.50 : x
  2. Step 2: Convert to fraction form
    99,750/157,930.50 = 157,930.50/x
  3. Step 3: Cross multiply
    99,750x = 157,930.50 × 157,930.50
  4. Step 4: Simplify right side
    99,750x = 24,942,042,830.25
  5. Step 5: Solve for x
    x = 24,942,042,830.25/99,750
  6. Step 6: Final answer
    x = 250,045.54

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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.