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Finding the Third Proportional to 60,768 and 131,904

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Solution

The third proportional to 60,768 and 131,904 is: 286,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,768 : 131,904 = 131,904 : x
  2. Step 2: Convert to fraction form
    60,768/131,904 = 131,904/x
  3. Step 3: Cross multiply
    60,768x = 131,904 × 131,904
  4. Step 4: Simplify right side
    60,768x = 17,398,665,216
  5. Step 5: Solve for x
    x = 17,398,665,216/60,768
  6. Step 6: Final answer
    x = 286,312.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.