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Finding the Third Proportional to 78,154 and 168,457

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Solution

The third proportional to 78,154 and 168,457 is: 363,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154 : 168,457 = 168,457 : x
  2. Step 2: Convert to fraction form
    78,154/168,457 = 168,457/x
  3. Step 3: Cross multiply
    78,154x = 168,457 × 168,457
  4. Step 4: Simplify right side
    78,154x = 28,377,760,849
  5. Step 5: Solve for x
    x = 28,377,760,849/78,154
  6. Step 6: Final answer
    x = 363,100.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.