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Finding the Third Proportional to 94,562 and 201,640

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Solution

The third proportional to 94,562 and 201,640 is: 429,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,562 : 201,640 = 201,640 : x
  2. Step 2: Convert to fraction form
    94,562/201,640 = 201,640/x
  3. Step 3: Cross multiply
    94,562x = 201,640 × 201,640
  4. Step 4: Simplify right side
    94,562x = 40,658,689,600
  5. Step 5: Solve for x
    x = 40,658,689,600/94,562
  6. Step 6: Final answer
    x = 429,968.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.