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Finding the Third Proportional to 39,368 and 86,026

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Solution

The third proportional to 39,368 and 86,026 is: 187,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,368 : 86,026 = 86,026 : x
  2. Step 2: Convert to fraction form
    39,368/86,026 = 86,026/x
  3. Step 3: Cross multiply
    39,368x = 86,026 × 86,026
  4. Step 4: Simplify right side
    39,368x = 7,400,472,676
  5. Step 5: Solve for x
    x = 7,400,472,676/39,368
  6. Step 6: Final answer
    x = 187,981.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.