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Finding the Third Proportional to 45,077 and 65,289

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Solution

The third proportional to 45,077 and 65,289 is: 94,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,077 : 65,289 = 65,289 : x
  2. Step 2: Convert to fraction form
    45,077/65,289 = 65,289/x
  3. Step 3: Cross multiply
    45,077x = 65,289 × 65,289
  4. Step 4: Simplify right side
    45,077x = 4,262,653,521
  5. Step 5: Solve for x
    x = 4,262,653,521/45,077
  6. Step 6: Final answer
    x = 94,563.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.