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Finding the Third Proportional to 31,156.52 and 68,023.55

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Solution

The third proportional to 31,156.52 and 68,023.55 is: 148,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.52 : 68,023.55 = 68,023.55 : x
  2. Step 2: Convert to fraction form
    31,156.52/68,023.55 = 68,023.55/x
  3. Step 3: Cross multiply
    31,156.52x = 68,023.55 × 68,023.55
  4. Step 4: Simplify right side
    31,156.52x = 4,627,202,929.46
  5. Step 5: Solve for x
    x = 4,627,202,929.46/31,156.52
  6. Step 6: Final answer
    x = 148,514.74

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