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Finding the Third Proportional to 123,159.66 and 265,311.14

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Solution

The third proportional to 123,159.66 and 265,311.14 is: 571,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159.66 : 265,311.14 = 265,311.14 : x
  2. Step 2: Convert to fraction form
    123,159.66/265,311.14 = 265,311.14/x
  3. Step 3: Cross multiply
    123,159.66x = 265,311.14 × 265,311.14
  4. Step 4: Simplify right side
    123,159.66x = 70,390,001,339.74
  5. Step 5: Solve for x
    x = 70,390,001,339.74/123,159.66
  6. Step 6: Final answer
    x = 571,534.57

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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.