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Finding the Third Proportional to 77,022 and 169,146

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Solution

The third proportional to 77,022 and 169,146 is: 371,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,022 : 169,146 = 169,146 : x
  2. Step 2: Convert to fraction form
    77,022/169,146 = 169,146/x
  3. Step 3: Cross multiply
    77,022x = 169,146 × 169,146
  4. Step 4: Simplify right side
    77,022x = 28,610,369,316
  5. Step 5: Solve for x
    x = 28,610,369,316/77,022
  6. Step 6: Final answer
    x = 371,457.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.