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Finding the Third Proportional to 91,271 and 183,898

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Solution

The third proportional to 91,271 and 183,898 is: 370,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,271 : 183,898 = 183,898 : x
  2. Step 2: Convert to fraction form
    91,271/183,898 = 183,898/x
  3. Step 3: Cross multiply
    91,271x = 183,898 × 183,898
  4. Step 4: Simplify right side
    91,271x = 33,818,474,404
  5. Step 5: Solve for x
    x = 33,818,474,404/91,271
  6. Step 6: Final answer
    x = 370,528.15

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.