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Finding the Third Proportional to 98,017 and 144,154

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Solution

The third proportional to 98,017 and 144,154 is: 212,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,017 : 144,154 = 144,154 : x
  2. Step 2: Convert to fraction form
    98,017/144,154 = 144,154/x
  3. Step 3: Cross multiply
    98,017x = 144,154 × 144,154
  4. Step 4: Simplify right side
    98,017x = 20,780,375,716
  5. Step 5: Solve for x
    x = 20,780,375,716/98,017
  6. Step 6: Final answer
    x = 212,007.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.