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Finding the Third Proportional to 51,801.75 and 78,715.13

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Solution

The third proportional to 51,801.75 and 78,715.13 is: 119,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,801.75 : 78,715.13 = 78,715.13 : x
  2. Step 2: Convert to fraction form
    51,801.75/78,715.13 = 78,715.13/x
  3. Step 3: Cross multiply
    51,801.75x = 78,715.13 × 78,715.13
  4. Step 4: Simplify right side
    51,801.75x = 6,196,070,903.77
  5. Step 5: Solve for x
    x = 6,196,070,903.77/51,801.75
  6. Step 6: Final answer
    x = 119,611.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.