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Finding the Third Proportional to 54,748 and 118,496

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Solution

The third proportional to 54,748 and 118,496 is: 256,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748 : 118,496 = 118,496 : x
  2. Step 2: Convert to fraction form
    54,748/118,496 = 118,496/x
  3. Step 3: Cross multiply
    54,748x = 118,496 × 118,496
  4. Step 4: Simplify right side
    54,748x = 14,041,302,016
  5. Step 5: Solve for x
    x = 14,041,302,016/54,748
  6. Step 6: Final answer
    x = 256,471.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.