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Finding the Third Proportional to 65,670.75 and 102,237.19

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Solution

The third proportional to 65,670.75 and 102,237.19 is: 159,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670.75 : 102,237.19 = 102,237.19 : x
  2. Step 2: Convert to fraction form
    65,670.75/102,237.19 = 102,237.19/x
  3. Step 3: Cross multiply
    65,670.75x = 102,237.19 × 102,237.19
  4. Step 4: Simplify right side
    65,670.75x = 10,452,442,507.91
  5. Step 5: Solve for x
    x = 10,452,442,507.91/65,670.75
  6. Step 6: Final answer
    x = 159,164.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.