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Finding the Third Proportional to 73,898 and 114,657

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Solution

The third proportional to 73,898 and 114,657 is: 177,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898 : 114,657 = 114,657 : x
  2. Step 2: Convert to fraction form
    73,898/114,657 = 114,657/x
  3. Step 3: Cross multiply
    73,898x = 114,657 × 114,657
  4. Step 4: Simplify right side
    73,898x = 13,146,227,649
  5. Step 5: Solve for x
    x = 13,146,227,649/73,898
  6. Step 6: Final answer
    x = 177,896.93

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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.