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Finding the Third Proportional to 65,130.75 and 95,860.13

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Solution

The third proportional to 65,130.75 and 95,860.13 is: 141,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.75 : 95,860.13 = 95,860.13 : x
  2. Step 2: Convert to fraction form
    65,130.75/95,860.13 = 95,860.13/x
  3. Step 3: Cross multiply
    65,130.75x = 95,860.13 × 95,860.13
  4. Step 4: Simplify right side
    65,130.75x = 9,189,163,565.02
  5. Step 5: Solve for x
    x = 9,189,163,565.02/65,130.75
  6. Step 6: Final answer
    x = 141,087.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.