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Finding the Third Proportional to 68,262 and 101,865.75

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Solution

The third proportional to 68,262 and 101,865.75 is: 152,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,262 : 101,865.75 = 101,865.75 : x
  2. Step 2: Convert to fraction form
    68,262/101,865.75 = 101,865.75/x
  3. Step 3: Cross multiply
    68,262x = 101,865.75 × 101,865.75
  4. Step 4: Simplify right side
    68,262x = 10,376,631,023.06
  5. Step 5: Solve for x
    x = 10,376,631,023.06/68,262
  6. Step 6: Final answer
    x = 152,011.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.