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Finding the Third Proportional to 65,701.13 and 140,742.56

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Solution

The third proportional to 65,701.13 and 140,742.56 is: 301,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 140,742.56 = 140,742.56 : x
  2. Step 2: Convert to fraction form
    65,701.13/140,742.56 = 140,742.56/x
  3. Step 3: Cross multiply
    65,701.13x = 140,742.56 × 140,742.56
  4. Step 4: Simplify right side
    65,701.13x = 19,808,468,899.07
  5. Step 5: Solve for x
    x = 19,808,468,899.07/65,701.13
  6. Step 6: Final answer
    x = 301,493.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.