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Finding the Third Proportional to 94,096 and 201,320

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Solution

The third proportional to 94,096 and 201,320 is: 430,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,096 : 201,320 = 201,320 : x
  2. Step 2: Convert to fraction form
    94,096/201,320 = 201,320/x
  3. Step 3: Cross multiply
    94,096x = 201,320 × 201,320
  4. Step 4: Simplify right side
    94,096x = 40,529,742,400
  5. Step 5: Solve for x
    x = 40,529,742,400/94,096
  6. Step 6: Final answer
    x = 430,727.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.