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Finding the Third Proportional to 61,678.50 and 134,493

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Solution

The third proportional to 61,678.50 and 134,493 is: 293,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.50 : 134,493 = 134,493 : x
  2. Step 2: Convert to fraction form
    61,678.50/134,493 = 134,493/x
  3. Step 3: Cross multiply
    61,678.50x = 134,493 × 134,493
  4. Step 4: Simplify right side
    61,678.50x = 18,088,367,049
  5. Step 5: Solve for x
    x = 18,088,367,049/61,678.50
  6. Step 6: Final answer
    x = 293,268.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.