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Finding the Third Proportional to 98,134 and 155,645

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Solution

The third proportional to 98,134 and 155,645 is: 246,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,134 : 155,645 = 155,645 : x
  2. Step 2: Convert to fraction form
    98,134/155,645 = 155,645/x
  3. Step 3: Cross multiply
    98,134x = 155,645 × 155,645
  4. Step 4: Simplify right side
    98,134x = 24,225,366,025
  5. Step 5: Solve for x
    x = 24,225,366,025/98,134
  6. Step 6: Final answer
    x = 246,860.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.