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Finding the Third Proportional to 60,964.50 and 130,383

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Solution

The third proportional to 60,964.50 and 130,383 is: 278,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,964.50 : 130,383 = 130,383 : x
  2. Step 2: Convert to fraction form
    60,964.50/130,383 = 130,383/x
  3. Step 3: Cross multiply
    60,964.50x = 130,383 × 130,383
  4. Step 4: Simplify right side
    60,964.50x = 16,999,726,689
  5. Step 5: Solve for x
    x = 16,999,726,689/60,964.50
  6. Step 6: Final answer
    x = 278,846.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.