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Finding the Third Proportional to 49,770 and 77,175

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Solution

The third proportional to 49,770 and 77,175 is: 119,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770 : 77,175 = 77,175 : x
  2. Step 2: Convert to fraction form
    49,770/77,175 = 77,175/x
  3. Step 3: Cross multiply
    49,770x = 77,175 × 77,175
  4. Step 4: Simplify right side
    49,770x = 5,955,980,625
  5. Step 5: Solve for x
    x = 5,955,980,625/49,770
  6. Step 6: Final answer
    x = 119,670.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.