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Finding the Third Proportional to 71,831.42 and 156,253.03

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Solution

The third proportional to 71,831.42 and 156,253.03 is: 339,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831.42 : 156,253.03 = 156,253.03 : x
  2. Step 2: Convert to fraction form
    71,831.42/156,253.03 = 156,253.03/x
  3. Step 3: Cross multiply
    71,831.42x = 156,253.03 × 156,253.03
  4. Step 4: Simplify right side
    71,831.42x = 24,415,010,690.36
  5. Step 5: Solve for x
    x = 24,415,010,690.36/71,831.42
  6. Step 6: Final answer
    x = 339,893.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.