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Finding the Third Proportional to 52.50 and 79.50

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Solution

The third proportional to 52.50 and 79.50 is: 120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 79.50 = 79.50 : x
  2. Step 2: Convert to fraction form
    52.50/79.50 = 79.50/x
  3. Step 3: Cross multiply
    52.50x = 79.50 × 79.50
  4. Step 4: Simplify right side
    52.50x = 6,320.25
  5. Step 5: Solve for x
    x = 6,320.25/52.50
  6. Step 6: Final answer
    x = 120.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.