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Finding the Third Proportional to 101,964 and 155,538

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Solution

The third proportional to 101,964 and 155,538 is: 237,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964 : 155,538 = 155,538 : x
  2. Step 2: Convert to fraction form
    101,964/155,538 = 155,538/x
  3. Step 3: Cross multiply
    101,964x = 155,538 × 155,538
  4. Step 4: Simplify right side
    101,964x = 24,192,069,444
  5. Step 5: Solve for x
    x = 24,192,069,444/101,964
  6. Step 6: Final answer
    x = 237,260.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.