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Finding the Third Proportional to 51,710.59 and 111,337.66

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Solution

The third proportional to 51,710.59 and 111,337.66 is: 239,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710.59 : 111,337.66 = 111,337.66 : x
  2. Step 2: Convert to fraction form
    51,710.59/111,337.66 = 111,337.66/x
  3. Step 3: Cross multiply
    51,710.59x = 111,337.66 × 111,337.66
  4. Step 4: Simplify right side
    51,710.59x = 12,396,075,438.89
  5. Step 5: Solve for x
    x = 12,396,075,438.89/51,710.59
  6. Step 6: Final answer
    x = 239,720.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.