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Finding the Third Proportional to 123,475.50 and 265,671

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Solution

The third proportional to 123,475.50 and 265,671 is: 571,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,475.50 : 265,671 = 265,671 : x
  2. Step 2: Convert to fraction form
    123,475.50/265,671 = 265,671/x
  3. Step 3: Cross multiply
    123,475.50x = 265,671 × 265,671
  4. Step 4: Simplify right side
    123,475.50x = 70,581,080,241
  5. Step 5: Solve for x
    x = 70,581,080,241/123,475.50
  6. Step 6: Final answer
    x = 571,620.12

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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.