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Finding the Third Proportional to 54,591 and 119,365

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Solution

The third proportional to 54,591 and 119,365 is: 260,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,591 : 119,365 = 119,365 : x
  2. Step 2: Convert to fraction form
    54,591/119,365 = 119,365/x
  3. Step 3: Cross multiply
    54,591x = 119,365 × 119,365
  4. Step 4: Simplify right side
    54,591x = 14,248,003,225
  5. Step 5: Solve for x
    x = 14,248,003,225/54,591
  6. Step 6: Final answer
    x = 260,995.46

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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.