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Finding the Third Proportional to 92,664 and 125,853.75

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Solution

The third proportional to 92,664 and 125,853.75 is: 170,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,664 : 125,853.75 = 125,853.75 : x
  2. Step 2: Convert to fraction form
    92,664/125,853.75 = 125,853.75/x
  3. Step 3: Cross multiply
    92,664x = 125,853.75 × 125,853.75
  4. Step 4: Simplify right side
    92,664x = 15,839,166,389.06
  5. Step 5: Solve for x
    x = 15,839,166,389.06/92,664
  6. Step 6: Final answer
    x = 170,931.17

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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.