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Finding the Third Proportional to 102,199 and 159,506

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Solution

The third proportional to 102,199 and 159,506 is: 248,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199 : 159,506 = 159,506 : x
  2. Step 2: Convert to fraction form
    102,199/159,506 = 159,506/x
  3. Step 3: Cross multiply
    102,199x = 159,506 × 159,506
  4. Step 4: Simplify right side
    102,199x = 25,442,164,036
  5. Step 5: Solve for x
    x = 25,442,164,036/102,199
  6. Step 6: Final answer
    x = 248,947.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.