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Finding the Third Proportional to 77,892 and 117,360

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Solution

The third proportional to 77,892 and 117,360 is: 176,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892 : 117,360 = 117,360 : x
  2. Step 2: Convert to fraction form
    77,892/117,360 = 117,360/x
  3. Step 3: Cross multiply
    77,892x = 117,360 × 117,360
  4. Step 4: Simplify right side
    77,892x = 13,773,369,600
  5. Step 5: Solve for x
    x = 13,773,369,600/77,892
  6. Step 6: Final answer
    x = 176,826.50

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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.