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Finding the Third Proportional to 101,921 and 154,421

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Solution

The third proportional to 101,921 and 154,421 is: 233,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,921 : 154,421 = 154,421 : x
  2. Step 2: Convert to fraction form
    101,921/154,421 = 154,421/x
  3. Step 3: Cross multiply
    101,921x = 154,421 × 154,421
  4. Step 4: Simplify right side
    101,921x = 23,845,845,241
  5. Step 5: Solve for x
    x = 23,845,845,241/101,921
  6. Step 6: Final answer
    x = 233,964.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.