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Finding the Third Proportional to 60,816 and 141,288

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Solution

The third proportional to 60,816 and 141,288 is: 328,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,816 : 141,288 = 141,288 : x
  2. Step 2: Convert to fraction form
    60,816/141,288 = 141,288/x
  3. Step 3: Cross multiply
    60,816x = 141,288 × 141,288
  4. Step 4: Simplify right side
    60,816x = 19,962,298,944
  5. Step 5: Solve for x
    x = 19,962,298,944/60,816
  6. Step 6: Final answer
    x = 328,240.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.