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Finding the Third Proportional to 122,029.66 and 265,049.40

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Solution

The third proportional to 122,029.66 and 265,049.40 is: 575,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,029.66 : 265,049.40 = 265,049.40 : x
  2. Step 2: Convert to fraction form
    122,029.66/265,049.40 = 265,049.40/x
  3. Step 3: Cross multiply
    122,029.66x = 265,049.40 × 265,049.40
  4. Step 4: Simplify right side
    122,029.66x = 70,251,185,682.78
  5. Step 5: Solve for x
    x = 70,251,185,682.78/122,029.66
  6. Step 6: Final answer
    x = 575,689.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.