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Finding the Third Proportional to 98,550 and 152,865

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Solution

The third proportional to 98,550 and 152,865 is: 237,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550 : 152,865 = 152,865 : x
  2. Step 2: Convert to fraction form
    98,550/152,865 = 152,865/x
  3. Step 3: Cross multiply
    98,550x = 152,865 × 152,865
  4. Step 4: Simplify right side
    98,550x = 23,367,708,225
  5. Step 5: Solve for x
    x = 23,367,708,225/98,550
  6. Step 6: Final answer
    x = 237,115.25

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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.