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Finding the Third Proportional to 84,763 and 114,988

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Solution

The third proportional to 84,763 and 114,988 is: 155,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,763 : 114,988 = 114,988 : x
  2. Step 2: Convert to fraction form
    84,763/114,988 = 114,988/x
  3. Step 3: Cross multiply
    84,763x = 114,988 × 114,988
  4. Step 4: Simplify right side
    84,763x = 13,222,240,144
  5. Step 5: Solve for x
    x = 13,222,240,144/84,763
  6. Step 6: Final answer
    x = 155,990.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.