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Finding the Third Proportional to 82,251 and 111,460.50

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Solution

The third proportional to 82,251 and 111,460.50 is: 151,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,251 : 111,460.50 = 111,460.50 : x
  2. Step 2: Convert to fraction form
    82,251/111,460.50 = 111,460.50/x
  3. Step 3: Cross multiply
    82,251x = 111,460.50 × 111,460.50
  4. Step 4: Simplify right side
    82,251x = 12,423,443,060.25
  5. Step 5: Solve for x
    x = 12,423,443,060.25/82,251
  6. Step 6: Final answer
    x = 151,043.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.