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Finding the Third Proportional to 104,500 and 161,862

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Solution

The third proportional to 104,500 and 161,862 is: 250,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,500 : 161,862 = 161,862 : x
  2. Step 2: Convert to fraction form
    104,500/161,862 = 161,862/x
  3. Step 3: Cross multiply
    104,500x = 161,862 × 161,862
  4. Step 4: Simplify right side
    104,500x = 26,199,307,044
  5. Step 5: Solve for x
    x = 26,199,307,044/104,500
  6. Step 6: Final answer
    x = 250,711.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.