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Finding the Third Proportional to 77,365 and 104,382

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Solution

The third proportional to 77,365 and 104,382 is: 140,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,365 : 104,382 = 104,382 : x
  2. Step 2: Convert to fraction form
    77,365/104,382 = 104,382/x
  3. Step 3: Cross multiply
    77,365x = 104,382 × 104,382
  4. Step 4: Simplify right side
    77,365x = 10,895,601,924
  5. Step 5: Solve for x
    x = 10,895,601,924/77,365
  6. Step 6: Final answer
    x = 140,833.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.