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Finding the Third Proportional to 52,892 and 77,880

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Solution

The third proportional to 52,892 and 77,880 is: 114,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,892 : 77,880 = 77,880 : x
  2. Step 2: Convert to fraction form
    52,892/77,880 = 77,880/x
  3. Step 3: Cross multiply
    52,892x = 77,880 × 77,880
  4. Step 4: Simplify right side
    52,892x = 6,065,294,400
  5. Step 5: Solve for x
    x = 6,065,294,400/52,892
  6. Step 6: Final answer
    x = 114,673.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.