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Finding the Third Proportional to 45,527 and 98,542

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Solution

The third proportional to 45,527 and 98,542 is: 213,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,527 : 98,542 = 98,542 : x
  2. Step 2: Convert to fraction form
    45,527/98,542 = 98,542/x
  3. Step 3: Cross multiply
    45,527x = 98,542 × 98,542
  4. Step 4: Simplify right side
    45,527x = 9,710,525,764
  5. Step 5: Solve for x
    x = 9,710,525,764/45,527
  6. Step 6: Final answer
    x = 213,291.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.