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Finding the Third Proportional to 54,745 and 118,487

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Solution

The third proportional to 54,745 and 118,487 is: 256,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,745 : 118,487 = 118,487 : x
  2. Step 2: Convert to fraction form
    54,745/118,487 = 118,487/x
  3. Step 3: Cross multiply
    54,745x = 118,487 × 118,487
  4. Step 4: Simplify right side
    54,745x = 14,039,169,169
  5. Step 5: Solve for x
    x = 14,039,169,169/54,745
  6. Step 6: Final answer
    x = 256,446.60

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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.