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Finding the Third Proportional to 55,967 and 77,570

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Solution

The third proportional to 55,967 and 77,570 is: 107,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,967 : 77,570 = 77,570 : x
  2. Step 2: Convert to fraction form
    55,967/77,570 = 77,570/x
  3. Step 3: Cross multiply
    55,967x = 77,570 × 77,570
  4. Step 4: Simplify right side
    55,967x = 6,017,104,900
  5. Step 5: Solve for x
    x = 6,017,104,900/55,967
  6. Step 6: Final answer
    x = 107,511.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.