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Finding the Third Proportional to 61,398 and 129,316.50

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Solution

The third proportional to 61,398 and 129,316.50 is: 272,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 129,316.50 = 129,316.50 : x
  2. Step 2: Convert to fraction form
    61,398/129,316.50 = 129,316.50/x
  3. Step 3: Cross multiply
    61,398x = 129,316.50 × 129,316.50
  4. Step 4: Simplify right side
    61,398x = 16,722,757,172.25
  5. Step 5: Solve for x
    x = 16,722,757,172.25/61,398
  6. Step 6: Final answer
    x = 272,366.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.