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Finding the Third Proportional to 52,202 and 79,527

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Solution

The third proportional to 52,202 and 79,527 is: 121,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202 : 79,527 = 79,527 : x
  2. Step 2: Convert to fraction form
    52,202/79,527 = 79,527/x
  3. Step 3: Cross multiply
    52,202x = 79,527 × 79,527
  4. Step 4: Simplify right side
    52,202x = 6,324,543,729
  5. Step 5: Solve for x
    x = 6,324,543,729/52,202
  6. Step 6: Final answer
    x = 121,155.20

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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.