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Finding the Third Proportional to 39,332 and 85,578

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Solution

The third proportional to 39,332 and 85,578 is: 186,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332 : 85,578 = 85,578 : x
  2. Step 2: Convert to fraction form
    39,332/85,578 = 85,578/x
  3. Step 3: Cross multiply
    39,332x = 85,578 × 85,578
  4. Step 4: Simplify right side
    39,332x = 7,323,594,084
  5. Step 5: Solve for x
    x = 7,323,594,084/39,332
  6. Step 6: Final answer
    x = 186,199.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.