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Finding the Third Proportional to 72,522 and 112,077

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Solution

The third proportional to 72,522 and 112,077 is: 173,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,522 : 112,077 = 112,077 : x
  2. Step 2: Convert to fraction form
    72,522/112,077 = 112,077/x
  3. Step 3: Cross multiply
    72,522x = 112,077 × 112,077
  4. Step 4: Simplify right side
    72,522x = 12,561,253,929
  5. Step 5: Solve for x
    x = 12,561,253,929/72,522
  6. Step 6: Final answer
    x = 173,206.12

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