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Finding the Third Proportional to 60,324 and 131,356

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Solution

The third proportional to 60,324 and 131,356 is: 286,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,324 : 131,356 = 131,356 : x
  2. Step 2: Convert to fraction form
    60,324/131,356 = 131,356/x
  3. Step 3: Cross multiply
    60,324x = 131,356 × 131,356
  4. Step 4: Simplify right side
    60,324x = 17,254,398,736
  5. Step 5: Solve for x
    x = 17,254,398,736/60,324
  6. Step 6: Final answer
    x = 286,028.76

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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.