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Finding the Third Proportional to 80,903.81 and 125,615.81

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Solution

The third proportional to 80,903.81 and 125,615.81 is: 195,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,903.81 : 125,615.81 = 125,615.81 : x
  2. Step 2: Convert to fraction form
    80,903.81/125,615.81 = 125,615.81/x
  3. Step 3: Cross multiply
    80,903.81x = 125,615.81 × 125,615.81
  4. Step 4: Simplify right side
    80,903.81x = 15,779,332,350.04
  5. Step 5: Solve for x
    x = 15,779,332,350.04/80,903.81
  6. Step 6: Final answer
    x = 195,038.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.