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Finding the Third Proportional to 100,461 and 151,711

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Solution

The third proportional to 100,461 and 151,711 is: 229,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461 : 151,711 = 151,711 : x
  2. Step 2: Convert to fraction form
    100,461/151,711 = 151,711/x
  3. Step 3: Cross multiply
    100,461x = 151,711 × 151,711
  4. Step 4: Simplify right side
    100,461x = 23,016,227,521
  5. Step 5: Solve for x
    x = 23,016,227,521/100,461
  6. Step 6: Final answer
    x = 229,106.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.