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Finding the Third Proportional to 34,219.13 and 66,781.13

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Solution

The third proportional to 34,219.13 and 66,781.13 is: 130,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.13 : 66,781.13 = 66,781.13 : x
  2. Step 2: Convert to fraction form
    34,219.13/66,781.13 = 66,781.13/x
  3. Step 3: Cross multiply
    34,219.13x = 66,781.13 × 66,781.13
  4. Step 4: Simplify right side
    34,219.13x = 4,459,718,656.27
  5. Step 5: Solve for x
    x = 4,459,718,656.27/34,219.13
  6. Step 6: Final answer
    x = 130,328.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.