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Finding the Third Proportional to 101,711.50 and 153,310

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Solution

The third proportional to 101,711.50 and 153,310 is: 231,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,711.50 : 153,310 = 153,310 : x
  2. Step 2: Convert to fraction form
    101,711.50/153,310 = 153,310/x
  3. Step 3: Cross multiply
    101,711.50x = 153,310 × 153,310
  4. Step 4: Simplify right side
    101,711.50x = 23,503,956,100
  5. Step 5: Solve for x
    x = 23,503,956,100/101,711.50
  6. Step 6: Final answer
    x = 231,084.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.