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Finding the Third Proportional to 73,692 and 116,865

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Solution

The third proportional to 73,692 and 116,865 is: 185,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,692 : 116,865 = 116,865 : x
  2. Step 2: Convert to fraction form
    73,692/116,865 = 116,865/x
  3. Step 3: Cross multiply
    73,692x = 116,865 × 116,865
  4. Step 4: Simplify right side
    73,692x = 13,657,428,225
  5. Step 5: Solve for x
    x = 13,657,428,225/73,692
  6. Step 6: Final answer
    x = 185,331.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.