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Finding the Third Proportional to 55,376.16 and 83,118.66

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Solution

The third proportional to 55,376.16 and 83,118.66 is: 124,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,376.16 : 83,118.66 = 83,118.66 : x
  2. Step 2: Convert to fraction form
    55,376.16/83,118.66 = 83,118.66/x
  3. Step 3: Cross multiply
    55,376.16x = 83,118.66 × 83,118.66
  4. Step 4: Simplify right side
    55,376.16x = 6,908,711,016.81
  5. Step 5: Solve for x
    x = 6,908,711,016.81/55,376.16
  6. Step 6: Final answer
    x = 124,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.