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Finding the Third Proportional to 103,534 and 155,141

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Solution

The third proportional to 103,534 and 155,141 is: 232,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,534 : 155,141 = 155,141 : x
  2. Step 2: Convert to fraction form
    103,534/155,141 = 155,141/x
  3. Step 3: Cross multiply
    103,534x = 155,141 × 155,141
  4. Step 4: Simplify right side
    103,534x = 24,068,729,881
  5. Step 5: Solve for x
    x = 24,068,729,881/103,534
  6. Step 6: Final answer
    x = 232,471.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.