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Finding the Third Proportional to 52,351 and 115,070

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Solution

The third proportional to 52,351 and 115,070 is: 252,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,351 : 115,070 = 115,070 : x
  2. Step 2: Convert to fraction form
    52,351/115,070 = 115,070/x
  3. Step 3: Cross multiply
    52,351x = 115,070 × 115,070
  4. Step 4: Simplify right side
    52,351x = 13,241,104,900
  5. Step 5: Solve for x
    x = 13,241,104,900/52,351
  6. Step 6: Final answer
    x = 252,929.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.