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Finding the Third Proportional to 65,699.44 and 144,115.88

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Solution

The third proportional to 65,699.44 and 144,115.88 is: 316,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,699.44 : 144,115.88 = 144,115.88 : x
  2. Step 2: Convert to fraction form
    65,699.44/144,115.88 = 144,115.88/x
  3. Step 3: Cross multiply
    65,699.44x = 144,115.88 × 144,115.88
  4. Step 4: Simplify right side
    65,699.44x = 20,769,385,427.02
  5. Step 5: Solve for x
    x = 20,769,385,427.02/65,699.44
  6. Step 6: Final answer
    x = 316,127.29

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Why These Related Problems?

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