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Finding the Third Proportional to 61,538 and 134,465

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Solution

The third proportional to 61,538 and 134,465 is: 293,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,538 : 134,465 = 134,465 : x
  2. Step 2: Convert to fraction form
    61,538/134,465 = 134,465/x
  3. Step 3: Cross multiply
    61,538x = 134,465 × 134,465
  4. Step 4: Simplify right side
    61,538x = 18,080,836,225
  5. Step 5: Solve for x
    x = 18,080,836,225/61,538
  6. Step 6: Final answer
    x = 293,815.79

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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.