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Finding the Third Proportional to 84,920 and 186,160

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Solution

The third proportional to 84,920 and 186,160 is: 408,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,920 : 186,160 = 186,160 : x
  2. Step 2: Convert to fraction form
    84,920/186,160 = 186,160/x
  3. Step 3: Cross multiply
    84,920x = 186,160 × 186,160
  4. Step 4: Simplify right side
    84,920x = 34,655,545,600
  5. Step 5: Solve for x
    x = 34,655,545,600/84,920
  6. Step 6: Final answer
    x = 408,096.39

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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.