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Finding the Third Proportional to 109,475.25 and 164,996.25

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Solution

The third proportional to 109,475.25 and 164,996.25 is: 248,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,475.25 : 164,996.25 = 164,996.25 : x
  2. Step 2: Convert to fraction form
    109,475.25/164,996.25 = 164,996.25/x
  3. Step 3: Cross multiply
    109,475.25x = 164,996.25 × 164,996.25
  4. Step 4: Simplify right side
    109,475.25x = 27,223,762,514.06
  5. Step 5: Solve for x
    x = 27,223,762,514.06/109,475.25
  6. Step 6: Final answer
    x = 248,675.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.