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Finding the Third Proportional to 39,357 and 83,160

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Solution

The third proportional to 39,357 and 83,160 is: 175,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,357 : 83,160 = 83,160 : x
  2. Step 2: Convert to fraction form
    39,357/83,160 = 83,160/x
  3. Step 3: Cross multiply
    39,357x = 83,160 × 83,160
  4. Step 4: Simplify right side
    39,357x = 6,915,585,600
  5. Step 5: Solve for x
    x = 6,915,585,600/39,357
  6. Step 6: Final answer
    x = 175,714.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.