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Finding the Third Proportional to 29,265.75 and 64,105.88

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Solution

The third proportional to 29,265.75 and 64,105.88 is: 140,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,265.75 : 64,105.88 = 64,105.88 : x
  2. Step 2: Convert to fraction form
    29,265.75/64,105.88 = 64,105.88/x
  3. Step 3: Cross multiply
    29,265.75x = 64,105.88 × 64,105.88
  4. Step 4: Simplify right side
    29,265.75x = 4,109,563,209.52
  5. Step 5: Solve for x
    x = 4,109,563,209.52/29,265.75
  6. Step 6: Final answer
    x = 140,422.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.