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Finding the Third Proportional to 95,833.13 and 145,086.19

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Solution

The third proportional to 95,833.13 and 145,086.19 is: 219,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,833.13 : 145,086.19 = 145,086.19 : x
  2. Step 2: Convert to fraction form
    95,833.13/145,086.19 = 145,086.19/x
  3. Step 3: Cross multiply
    95,833.13x = 145,086.19 × 145,086.19
  4. Step 4: Simplify right side
    95,833.13x = 21,050,001,803.29
  5. Step 5: Solve for x
    x = 21,050,001,803.29/95,833.13
  6. Step 6: Final answer
    x = 219,652.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.