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Finding the Third Proportional to 54,588 and 119,320

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Solution

The third proportional to 54,588 and 119,320 is: 260,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588 : 119,320 = 119,320 : x
  2. Step 2: Convert to fraction form
    54,588/119,320 = 119,320/x
  3. Step 3: Cross multiply
    54,588x = 119,320 × 119,320
  4. Step 4: Simplify right side
    54,588x = 14,237,262,400
  5. Step 5: Solve for x
    x = 14,237,262,400/54,588
  6. Step 6: Final answer
    x = 260,813.04

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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.