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Finding the Third Proportional to 54,348 and 114,596

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Solution

The third proportional to 54,348 and 114,596 is: 241,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,348 : 114,596 = 114,596 : x
  2. Step 2: Convert to fraction form
    54,348/114,596 = 114,596/x
  3. Step 3: Cross multiply
    54,348x = 114,596 × 114,596
  4. Step 4: Simplify right side
    54,348x = 13,132,243,216
  5. Step 5: Solve for x
    x = 13,132,243,216/54,348
  6. Step 6: Final answer
    x = 241,632.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.