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Finding the Third Proportional to 84,538 and 130,830

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Solution

The third proportional to 84,538 and 130,830 is: 202,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,538 : 130,830 = 130,830 : x
  2. Step 2: Convert to fraction form
    84,538/130,830 = 130,830/x
  3. Step 3: Cross multiply
    84,538x = 130,830 × 130,830
  4. Step 4: Simplify right side
    84,538x = 17,116,488,900
  5. Step 5: Solve for x
    x = 17,116,488,900/84,538
  6. Step 6: Final answer
    x = 202,470.95

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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.