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Finding the Third Proportional to 123,091.03 and 265,012.31

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Solution

The third proportional to 123,091.03 and 265,012.31 is: 570,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,091.03 : 265,012.31 = 265,012.31 : x
  2. Step 2: Convert to fraction form
    123,091.03/265,012.31 = 265,012.31/x
  3. Step 3: Cross multiply
    123,091.03x = 265,012.31 × 265,012.31
  4. Step 4: Simplify right side
    123,091.03x = 70,231,525,776.60
  5. Step 5: Solve for x
    x = 70,231,525,776.60/123,091.03
  6. Step 6: Final answer
    x = 570,565.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.