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Finding the Third Proportional to 61,603 and 80,557

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Solution

The third proportional to 61,603 and 80,557 is: 105,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603 : 80,557 = 80,557 : x
  2. Step 2: Convert to fraction form
    61,603/80,557 = 80,557/x
  3. Step 3: Cross multiply
    61,603x = 80,557 × 80,557
  4. Step 4: Simplify right side
    61,603x = 6,489,430,249
  5. Step 5: Solve for x
    x = 6,489,430,249/61,603
  6. Step 6: Final answer
    x = 105,342.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.