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Finding the Third Proportional to 91,175 and 133,804

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Solution

The third proportional to 91,175 and 133,804 is: 196,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,175 : 133,804 = 133,804 : x
  2. Step 2: Convert to fraction form
    91,175/133,804 = 133,804/x
  3. Step 3: Cross multiply
    91,175x = 133,804 × 133,804
  4. Step 4: Simplify right side
    91,175x = 17,903,510,416
  5. Step 5: Solve for x
    x = 17,903,510,416/91,175
  6. Step 6: Final answer
    x = 196,364.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.