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Finding the Third Proportional to 118,266 and 172,996

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Solution

The third proportional to 118,266 and 172,996 is: 253,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,266 : 172,996 = 172,996 : x
  2. Step 2: Convert to fraction form
    118,266/172,996 = 172,996/x
  3. Step 3: Cross multiply
    118,266x = 172,996 × 172,996
  4. Step 4: Simplify right side
    118,266x = 29,927,616,016
  5. Step 5: Solve for x
    x = 29,927,616,016/118,266
  6. Step 6: Final answer
    x = 253,053.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.