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Finding the Third Proportional to 65,497.78 and 101,447.44

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Solution

The third proportional to 65,497.78 and 101,447.44 is: 157,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.78 : 101,447.44 = 101,447.44 : x
  2. Step 2: Convert to fraction form
    65,497.78/101,447.44 = 101,447.44/x
  3. Step 3: Cross multiply
    65,497.78x = 101,447.44 × 101,447.44
  4. Step 4: Simplify right side
    65,497.78x = 10,291,582,575.32
  5. Step 5: Solve for x
    x = 10,291,582,575.32/65,497.78
  6. Step 6: Final answer
    x = 157,128.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.