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Finding the Third Proportional to 92,107 and 201,748

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Solution

The third proportional to 92,107 and 201,748 is: 441,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,107 : 201,748 = 201,748 : x
  2. Step 2: Convert to fraction form
    92,107/201,748 = 201,748/x
  3. Step 3: Cross multiply
    92,107x = 201,748 × 201,748
  4. Step 4: Simplify right side
    92,107x = 40,702,255,504
  5. Step 5: Solve for x
    x = 40,702,255,504/92,107
  6. Step 6: Final answer
    x = 441,901.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.