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Finding the Third Proportional to 99,522 and 154,091

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Solution

The third proportional to 99,522 and 154,091 is: 238,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,522 : 154,091 = 154,091 : x
  2. Step 2: Convert to fraction form
    99,522/154,091 = 154,091/x
  3. Step 3: Cross multiply
    99,522x = 154,091 × 154,091
  4. Step 4: Simplify right side
    99,522x = 23,744,036,281
  5. Step 5: Solve for x
    x = 23,744,036,281/99,522
  6. Step 6: Final answer
    x = 238,580.78

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