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Finding the Third Proportional to 98,550 and 152,199

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Solution

The third proportional to 98,550 and 152,199 is: 235,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550 : 152,199 = 152,199 : x
  2. Step 2: Convert to fraction form
    98,550/152,199 = 152,199/x
  3. Step 3: Cross multiply
    98,550x = 152,199 × 152,199
  4. Step 4: Simplify right side
    98,550x = 23,164,535,601
  5. Step 5: Solve for x
    x = 23,164,535,601/98,550
  6. Step 6: Final answer
    x = 235,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.