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Finding the Third Proportional to 94,142 and 201,235

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Solution

The third proportional to 94,142 and 201,235 is: 430,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,142 : 201,235 = 201,235 : x
  2. Step 2: Convert to fraction form
    94,142/201,235 = 201,235/x
  3. Step 3: Cross multiply
    94,142x = 201,235 × 201,235
  4. Step 4: Simplify right side
    94,142x = 40,495,525,225
  5. Step 5: Solve for x
    x = 40,495,525,225/94,142
  6. Step 6: Final answer
    x = 430,153.65

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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.