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Finding the Third Proportional to 54,953 and 118,438

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Solution

The third proportional to 54,953 and 118,438 is: 255,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,953 : 118,438 = 118,438 : x
  2. Step 2: Convert to fraction form
    54,953/118,438 = 118,438/x
  3. Step 3: Cross multiply
    54,953x = 118,438 × 118,438
  4. Step 4: Simplify right side
    54,953x = 14,027,559,844
  5. Step 5: Solve for x
    x = 14,027,559,844/54,953
  6. Step 6: Final answer
    x = 255,264.68

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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.