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Finding the Third Proportional to 70,854.75 and 147,723.75

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Solution

The third proportional to 70,854.75 and 147,723.75 is: 307,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.75 : 147,723.75 = 147,723.75 : x
  2. Step 2: Convert to fraction form
    70,854.75/147,723.75 = 147,723.75/x
  3. Step 3: Cross multiply
    70,854.75x = 147,723.75 × 147,723.75
  4. Step 4: Simplify right side
    70,854.75x = 21,822,306,314.06
  5. Step 5: Solve for x
    x = 21,822,306,314.06/70,854.75
  6. Step 6: Final answer
    x = 307,986.50

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.