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Finding the Third Proportional to 45,292 and 99,548

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Solution

The third proportional to 45,292 and 99,548 is: 218,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292 : 99,548 = 99,548 : x
  2. Step 2: Convert to fraction form
    45,292/99,548 = 99,548/x
  3. Step 3: Cross multiply
    45,292x = 99,548 × 99,548
  4. Step 4: Simplify right side
    45,292x = 9,909,804,304
  5. Step 5: Solve for x
    x = 9,909,804,304/45,292
  6. Step 6: Final answer
    x = 218,798.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.