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Finding the Third Proportional to 91,953 and 201,132

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Solution

The third proportional to 91,953 and 201,132 is: 439,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,953 : 201,132 = 201,132 : x
  2. Step 2: Convert to fraction form
    91,953/201,132 = 201,132/x
  3. Step 3: Cross multiply
    91,953x = 201,132 × 201,132
  4. Step 4: Simplify right side
    91,953x = 40,454,081,424
  5. Step 5: Solve for x
    x = 40,454,081,424/91,953
  6. Step 6: Final answer
    x = 439,943.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.