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Finding the Third Proportional to 91,765 and 207,473.75

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Solution

The third proportional to 91,765 and 207,473.75 is: 469,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,765 : 207,473.75 = 207,473.75 : x
  2. Step 2: Convert to fraction form
    91,765/207,473.75 = 207,473.75/x
  3. Step 3: Cross multiply
    91,765x = 207,473.75 × 207,473.75
  4. Step 4: Simplify right side
    91,765x = 43,045,356,939.06
  5. Step 5: Solve for x
    x = 43,045,356,939.06/91,765
  6. Step 6: Final answer
    x = 469,082.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.