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Finding the Third Proportional to 98,250.75 and 152,178.75

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Solution

The third proportional to 98,250.75 and 152,178.75 is: 235,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,250.75 : 152,178.75 = 152,178.75 : x
  2. Step 2: Convert to fraction form
    98,250.75/152,178.75 = 152,178.75/x
  3. Step 3: Cross multiply
    98,250.75x = 152,178.75 × 152,178.75
  4. Step 4: Simplify right side
    98,250.75x = 23,158,371,951.56
  5. Step 5: Solve for x
    x = 23,158,371,951.56/98,250.75
  6. Step 6: Final answer
    x = 235,706.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.