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Finding the Third Proportional to 54,722 and 118,498

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Solution

The third proportional to 54,722 and 118,498 is: 256,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,722 : 118,498 = 118,498 : x
  2. Step 2: Convert to fraction form
    54,722/118,498 = 118,498/x
  3. Step 3: Cross multiply
    54,722x = 118,498 × 118,498
  4. Step 4: Simplify right side
    54,722x = 14,041,776,004
  5. Step 5: Solve for x
    x = 14,041,776,004/54,722
  6. Step 6: Final answer
    x = 256,602.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.