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Finding the Third Proportional to 75,989 and 114,024

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Solution

The third proportional to 75,989 and 114,024 is: 171,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,989 : 114,024 = 114,024 : x
  2. Step 2: Convert to fraction form
    75,989/114,024 = 114,024/x
  3. Step 3: Cross multiply
    75,989x = 114,024 × 114,024
  4. Step 4: Simplify right side
    75,989x = 13,001,472,576
  5. Step 5: Solve for x
    x = 13,001,472,576/75,989
  6. Step 6: Final answer
    x = 171,096.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.