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Finding the Third Proportional to 92,261 and 195,457

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Solution

The third proportional to 92,261 and 195,457 is: 414,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,261 : 195,457 = 195,457 : x
  2. Step 2: Convert to fraction form
    92,261/195,457 = 195,457/x
  3. Step 3: Cross multiply
    92,261x = 195,457 × 195,457
  4. Step 4: Simplify right side
    92,261x = 38,203,438,849
  5. Step 5: Solve for x
    x = 38,203,438,849/92,261
  6. Step 6: Final answer
    x = 414,080.04

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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.