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Finding the Third Proportional to 77,092 and 168,154

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Solution

The third proportional to 77,092 and 168,154 is: 366,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,092 : 168,154 = 168,154 : x
  2. Step 2: Convert to fraction form
    77,092/168,154 = 168,154/x
  3. Step 3: Cross multiply
    77,092x = 168,154 × 168,154
  4. Step 4: Simplify right side
    77,092x = 28,275,767,716
  5. Step 5: Solve for x
    x = 28,275,767,716/77,092
  6. Step 6: Final answer
    x = 366,779.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.