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Finding the Third Proportional to 49,324 and 110,360

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Solution

The third proportional to 49,324 and 110,360 is: 246,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324 : 110,360 = 110,360 : x
  2. Step 2: Convert to fraction form
    49,324/110,360 = 110,360/x
  3. Step 3: Cross multiply
    49,324x = 110,360 × 110,360
  4. Step 4: Simplify right side
    49,324x = 12,179,329,600
  5. Step 5: Solve for x
    x = 12,179,329,600/49,324
  6. Step 6: Final answer
    x = 246,925.02

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.