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Finding the Third Proportional to 39,320 and 86,020

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Solution

The third proportional to 39,320 and 86,020 is: 188,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,320 : 86,020 = 86,020 : x
  2. Step 2: Convert to fraction form
    39,320/86,020 = 86,020/x
  3. Step 3: Cross multiply
    39,320x = 86,020 × 86,020
  4. Step 4: Simplify right side
    39,320x = 7,399,440,400
  5. Step 5: Solve for x
    x = 7,399,440,400/39,320
  6. Step 6: Final answer
    x = 188,185.16

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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.