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Finding the Third Proportional to 54,890 and 119,598

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Solution

The third proportional to 54,890 and 119,598 is: 260,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,890 : 119,598 = 119,598 : x
  2. Step 2: Convert to fraction form
    54,890/119,598 = 119,598/x
  3. Step 3: Cross multiply
    54,890x = 119,598 × 119,598
  4. Step 4: Simplify right side
    54,890x = 14,303,681,604
  5. Step 5: Solve for x
    x = 14,303,681,604/54,890
  6. Step 6: Final answer
    x = 260,588.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.