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Finding the Third Proportional to 74,489 and 113,966

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Solution

The third proportional to 74,489 and 113,966 is: 174,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,489 : 113,966 = 113,966 : x
  2. Step 2: Convert to fraction form
    74,489/113,966 = 113,966/x
  3. Step 3: Cross multiply
    74,489x = 113,966 × 113,966
  4. Step 4: Simplify right side
    74,489x = 12,988,249,156
  5. Step 5: Solve for x
    x = 12,988,249,156/74,489
  6. Step 6: Final answer
    x = 174,364.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.