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Finding the Third Proportional to 54,752 and 119,488

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Solution

The third proportional to 54,752 and 119,488 is: 260,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,752 : 119,488 = 119,488 : x
  2. Step 2: Convert to fraction form
    54,752/119,488 = 119,488/x
  3. Step 3: Cross multiply
    54,752x = 119,488 × 119,488
  4. Step 4: Simplify right side
    54,752x = 14,277,382,144
  5. Step 5: Solve for x
    x = 14,277,382,144/54,752
  6. Step 6: Final answer
    x = 260,764.58

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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.