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Finding the Third Proportional to 94,850 and 201,382

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Solution

The third proportional to 94,850 and 201,382 is: 427,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,850 : 201,382 = 201,382 : x
  2. Step 2: Convert to fraction form
    94,850/201,382 = 201,382/x
  3. Step 3: Cross multiply
    94,850x = 201,382 × 201,382
  4. Step 4: Simplify right side
    94,850x = 40,554,709,924
  5. Step 5: Solve for x
    x = 40,554,709,924/94,850
  6. Step 6: Final answer
    x = 427,566.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.