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Finding the Third Proportional to 65,743.13 and 142,000.13

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Solution

The third proportional to 65,743.13 and 142,000.13 is: 306,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.13 : 142,000.13 = 142,000.13 : x
  2. Step 2: Convert to fraction form
    65,743.13/142,000.13 = 142,000.13/x
  3. Step 3: Cross multiply
    65,743.13x = 142,000.13 × 142,000.13
  4. Step 4: Simplify right side
    65,743.13x = 20,164,035,500.02
  5. Step 5: Solve for x
    x = 20,164,035,500.02/65,743.13
  6. Step 6: Final answer
    x = 306,709.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.