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Finding the Third Proportional to 42,444 and 92,269.13

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Solution

The third proportional to 42,444 and 92,269.13 is: 200,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,444 : 92,269.13 = 92,269.13 : x
  2. Step 2: Convert to fraction form
    42,444/92,269.13 = 92,269.13/x
  3. Step 3: Cross multiply
    42,444x = 92,269.13 × 92,269.13
  4. Step 4: Simplify right side
    42,444x = 8,513,591,428.27
  5. Step 5: Solve for x
    x = 8,513,591,428.27/42,444
  6. Step 6: Final answer
    x = 200,584.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.