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Finding the Third Proportional to 107,046 and 235,278

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Solution

The third proportional to 107,046 and 235,278 is: 517,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,046 : 235,278 = 235,278 : x
  2. Step 2: Convert to fraction form
    107,046/235,278 = 235,278/x
  3. Step 3: Cross multiply
    107,046x = 235,278 × 235,278
  4. Step 4: Simplify right side
    107,046x = 55,355,737,284
  5. Step 5: Solve for x
    x = 55,355,737,284/107,046
  6. Step 6: Final answer
    x = 517,121.03

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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.