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Finding the Third Proportional to 64,277 and 98,603

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Solution

The third proportional to 64,277 and 98,603 is: 151,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,277 : 98,603 = 98,603 : x
  2. Step 2: Convert to fraction form
    64,277/98,603 = 98,603/x
  3. Step 3: Cross multiply
    64,277x = 98,603 × 98,603
  4. Step 4: Simplify right side
    64,277x = 9,722,551,609
  5. Step 5: Solve for x
    x = 9,722,551,609/64,277
  6. Step 6: Final answer
    x = 151,260.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.