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Finding the Third Proportional to 92,928 and 201,120

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Solution

The third proportional to 92,928 and 201,120 is: 435,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,928 : 201,120 = 201,120 : x
  2. Step 2: Convert to fraction form
    92,928/201,120 = 201,120/x
  3. Step 3: Cross multiply
    92,928x = 201,120 × 201,120
  4. Step 4: Simplify right side
    92,928x = 40,449,254,400
  5. Step 5: Solve for x
    x = 40,449,254,400/92,928
  6. Step 6: Final answer
    x = 435,275.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.