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Finding the Third Proportional to 60,848.25 and 130,692

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Solution

The third proportional to 60,848.25 and 130,692 is: 280,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,848.25 : 130,692 = 130,692 : x
  2. Step 2: Convert to fraction form
    60,848.25/130,692 = 130,692/x
  3. Step 3: Cross multiply
    60,848.25x = 130,692 × 130,692
  4. Step 4: Simplify right side
    60,848.25x = 17,080,398,864
  5. Step 5: Solve for x
    x = 17,080,398,864/60,848.25
  6. Step 6: Final answer
    x = 280,704.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.