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Finding the Third Proportional to 107,650 and 154,091

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Solution

The third proportional to 107,650 and 154,091 is: 220,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,650 : 154,091 = 154,091 : x
  2. Step 2: Convert to fraction form
    107,650/154,091 = 154,091/x
  3. Step 3: Cross multiply
    107,650x = 154,091 × 154,091
  4. Step 4: Simplify right side
    107,650x = 23,744,036,281
  5. Step 5: Solve for x
    x = 23,744,036,281/107,650
  6. Step 6: Final answer
    x = 220,566.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.