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Finding the Third Proportional to 65,086.03 and 142,656.19

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Solution

The third proportional to 65,086.03 and 142,656.19 is: 312,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086.03 : 142,656.19 = 142,656.19 : x
  2. Step 2: Convert to fraction form
    65,086.03/142,656.19 = 142,656.19/x
  3. Step 3: Cross multiply
    65,086.03x = 142,656.19 × 142,656.19
  4. Step 4: Simplify right side
    65,086.03x = 20,350,787,832.04
  5. Step 5: Solve for x
    x = 20,350,787,832.04/65,086.03
  6. Step 6: Final answer
    x = 312,675.20

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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.