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Finding the Third Proportional to 123,044.06 and 265,293.56

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Solution

The third proportional to 123,044.06 and 265,293.56 is: 571,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,044.06 : 265,293.56 = 265,293.56 : x
  2. Step 2: Convert to fraction form
    123,044.06/265,293.56 = 265,293.56/x
  3. Step 3: Cross multiply
    123,044.06x = 265,293.56 × 265,293.56
  4. Step 4: Simplify right side
    123,044.06x = 70,380,674,303.94
  5. Step 5: Solve for x
    x = 70,380,674,303.94/123,044.06
  6. Step 6: Final answer
    x = 571,995.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.