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Finding the Third Proportional to 113,897 and 250,112

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Solution

The third proportional to 113,897 and 250,112 is: 549,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,897 : 250,112 = 250,112 : x
  2. Step 2: Convert to fraction form
    113,897/250,112 = 250,112/x
  3. Step 3: Cross multiply
    113,897x = 250,112 × 250,112
  4. Step 4: Simplify right side
    113,897x = 62,556,012,544
  5. Step 5: Solve for x
    x = 62,556,012,544/113,897
  6. Step 6: Final answer
    x = 549,233.19

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