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Finding the Third Proportional to 92,745 and 125,982

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Solution

The third proportional to 92,745 and 125,982 is: 171,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,745 : 125,982 = 125,982 : x
  2. Step 2: Convert to fraction form
    92,745/125,982 = 125,982/x
  3. Step 3: Cross multiply
    92,745x = 125,982 × 125,982
  4. Step 4: Simplify right side
    92,745x = 15,871,464,324
  5. Step 5: Solve for x
    x = 15,871,464,324/92,745
  6. Step 6: Final answer
    x = 171,130.13

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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.