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Finding the Third Proportional to 39,185 and 83,362

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Solution

The third proportional to 39,185 and 83,362 is: 177,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,185 : 83,362 = 83,362 : x
  2. Step 2: Convert to fraction form
    39,185/83,362 = 83,362/x
  3. Step 3: Cross multiply
    39,185x = 83,362 × 83,362
  4. Step 4: Simplify right side
    39,185x = 6,949,223,044
  5. Step 5: Solve for x
    x = 6,949,223,044/39,185
  6. Step 6: Final answer
    x = 177,343.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.