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Finding the Third Proportional to 62,724 and 134,184

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Solution

The third proportional to 62,724 and 134,184 is: 287,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,724 : 134,184 = 134,184 : x
  2. Step 2: Convert to fraction form
    62,724/134,184 = 134,184/x
  3. Step 3: Cross multiply
    62,724x = 134,184 × 134,184
  4. Step 4: Simplify right side
    62,724x = 18,005,345,856
  5. Step 5: Solve for x
    x = 18,005,345,856/62,724
  6. Step 6: Final answer
    x = 287,056.72

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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.