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Finding the Third Proportional to 77,732 and 114,045

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Solution

The third proportional to 77,732 and 114,045 is: 167,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,732 : 114,045 = 114,045 : x
  2. Step 2: Convert to fraction form
    77,732/114,045 = 114,045/x
  3. Step 3: Cross multiply
    77,732x = 114,045 × 114,045
  4. Step 4: Simplify right side
    77,732x = 13,006,262,025
  5. Step 5: Solve for x
    x = 13,006,262,025/77,732
  6. Step 6: Final answer
    x = 167,321.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.