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Finding the Third Proportional to 67,098 and 98,703

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Solution

The third proportional to 67,098 and 98,703 is: 145,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,098 : 98,703 = 98,703 : x
  2. Step 2: Convert to fraction form
    67,098/98,703 = 98,703/x
  3. Step 3: Cross multiply
    67,098x = 98,703 × 98,703
  4. Step 4: Simplify right side
    67,098x = 9,742,282,209
  5. Step 5: Solve for x
    x = 9,742,282,209/67,098
  6. Step 6: Final answer
    x = 145,194.82

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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.