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Finding the Third Proportional to 94,076 and 201,265

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Solution

The third proportional to 94,076 and 201,265 is: 430,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,076 : 201,265 = 201,265 : x
  2. Step 2: Convert to fraction form
    94,076/201,265 = 201,265/x
  3. Step 3: Cross multiply
    94,076x = 201,265 × 201,265
  4. Step 4: Simplify right side
    94,076x = 40,507,600,225
  5. Step 5: Solve for x
    x = 40,507,600,225/94,076
  6. Step 6: Final answer
    x = 430,583.79

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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.