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Finding the Third Proportional to 52,005 and 79,951.50

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Solution

The third proportional to 52,005 and 79,951.50 is: 122,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005 : 79,951.50 = 79,951.50 : x
  2. Step 2: Convert to fraction form
    52,005/79,951.50 = 79,951.50/x
  3. Step 3: Cross multiply
    52,005x = 79,951.50 × 79,951.50
  4. Step 4: Simplify right side
    52,005x = 6,392,242,352.25
  5. Step 5: Solve for x
    x = 6,392,242,352.25/52,005
  6. Step 6: Final answer
    x = 122,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.