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Finding the Third Proportional to 77,913 and 169,496

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Solution

The third proportional to 77,913 and 169,496 is: 368,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,913 : 169,496 = 169,496 : x
  2. Step 2: Convert to fraction form
    77,913/169,496 = 169,496/x
  3. Step 3: Cross multiply
    77,913x = 169,496 × 169,496
  4. Step 4: Simplify right side
    77,913x = 28,728,894,016
  5. Step 5: Solve for x
    x = 28,728,894,016/77,913
  6. Step 6: Final answer
    x = 368,730.43

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