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Finding the Third Proportional to 69,077 and 148,659

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Solution

The third proportional to 69,077 and 148,659 is: 319,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,077 : 148,659 = 148,659 : x
  2. Step 2: Convert to fraction form
    69,077/148,659 = 148,659/x
  3. Step 3: Cross multiply
    69,077x = 148,659 × 148,659
  4. Step 4: Simplify right side
    69,077x = 22,099,498,281
  5. Step 5: Solve for x
    x = 22,099,498,281/69,077
  6. Step 6: Final answer
    x = 319,925.57

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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.