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Finding the Third Proportional to 54,502 and 127,370

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Solution

The third proportional to 54,502 and 127,370 is: 297,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502 : 127,370 = 127,370 : x
  2. Step 2: Convert to fraction form
    54,502/127,370 = 127,370/x
  3. Step 3: Cross multiply
    54,502x = 127,370 × 127,370
  4. Step 4: Simplify right side
    54,502x = 16,223,116,900
  5. Step 5: Solve for x
    x = 16,223,116,900/54,502
  6. Step 6: Final answer
    x = 297,660.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.