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Finding the Third Proportional to 112,711.50 and 175,527

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Solution

The third proportional to 112,711.50 and 175,527 is: 273,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,711.50 : 175,527 = 175,527 : x
  2. Step 2: Convert to fraction form
    112,711.50/175,527 = 175,527/x
  3. Step 3: Cross multiply
    112,711.50x = 175,527 × 175,527
  4. Step 4: Simplify right side
    112,711.50x = 30,809,727,729
  5. Step 5: Solve for x
    x = 30,809,727,729/112,711.50
  6. Step 6: Final answer
    x = 273,350.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.