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Finding the Third Proportional to 48,324 and 72,261

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Solution

The third proportional to 48,324 and 72,261 is: 108,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324 : 72,261 = 72,261 : x
  2. Step 2: Convert to fraction form
    48,324/72,261 = 72,261/x
  3. Step 3: Cross multiply
    48,324x = 72,261 × 72,261
  4. Step 4: Simplify right side
    48,324x = 5,221,652,121
  5. Step 5: Solve for x
    x = 5,221,652,121/48,324
  6. Step 6: Final answer
    x = 108,055.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.