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Finding the Third Proportional to 61,518 and 134,538

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Solution

The third proportional to 61,518 and 134,538 is: 294,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,518 : 134,538 = 134,538 : x
  2. Step 2: Convert to fraction form
    61,518/134,538 = 134,538/x
  3. Step 3: Cross multiply
    61,518x = 134,538 × 134,538
  4. Step 4: Simplify right side
    61,518x = 18,100,473,444
  5. Step 5: Solve for x
    x = 18,100,473,444/61,518
  6. Step 6: Final answer
    x = 294,230.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.