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Finding the Third Proportional to 54,370 and 119,108

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Solution

The third proportional to 54,370 and 119,108 is: 260,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,370 : 119,108 = 119,108 : x
  2. Step 2: Convert to fraction form
    54,370/119,108 = 119,108/x
  3. Step 3: Cross multiply
    54,370x = 119,108 × 119,108
  4. Step 4: Simplify right side
    54,370x = 14,186,715,664
  5. Step 5: Solve for x
    x = 14,186,715,664/54,370
  6. Step 6: Final answer
    x = 260,929.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.