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Finding the Third Proportional to 52,648.50 and 124,284.75

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Solution

The third proportional to 52,648.50 and 124,284.75 is: 293,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648.50 : 124,284.75 = 124,284.75 : x
  2. Step 2: Convert to fraction form
    52,648.50/124,284.75 = 124,284.75/x
  3. Step 3: Cross multiply
    52,648.50x = 124,284.75 × 124,284.75
  4. Step 4: Simplify right side
    52,648.50x = 15,446,699,082.56
  5. Step 5: Solve for x
    x = 15,446,699,082.56/52,648.50
  6. Step 6: Final answer
    x = 293,392.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.