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Finding the Third Proportional to 52,875 and 81,996

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Solution

The third proportional to 52,875 and 81,996 is: 127,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875 : 81,996 = 81,996 : x
  2. Step 2: Convert to fraction form
    52,875/81,996 = 81,996/x
  3. Step 3: Cross multiply
    52,875x = 81,996 × 81,996
  4. Step 4: Simplify right side
    52,875x = 6,723,344,016
  5. Step 5: Solve for x
    x = 6,723,344,016/52,875
  6. Step 6: Final answer
    x = 127,155.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.