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Finding the Third Proportional to 124,524.84 and 186,814.69

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Solution

The third proportional to 124,524.84 and 186,814.69 is: 280,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,524.84 : 186,814.69 = 186,814.69 : x
  2. Step 2: Convert to fraction form
    124,524.84/186,814.69 = 186,814.69/x
  3. Step 3: Cross multiply
    124,524.84x = 186,814.69 × 186,814.69
  4. Step 4: Simplify right side
    124,524.84x = 34,899,727,465.72
  5. Step 5: Solve for x
    x = 34,899,727,465.72/124,524.84
  6. Step 6: Final answer
    x = 280,263.17

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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.