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Finding the Third Proportional to 77,413 and 169,579

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Solution

The third proportional to 77,413 and 169,579 is: 371,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413 : 169,579 = 169,579 : x
  2. Step 2: Convert to fraction form
    77,413/169,579 = 169,579/x
  3. Step 3: Cross multiply
    77,413x = 169,579 × 169,579
  4. Step 4: Simplify right side
    77,413x = 28,757,037,241
  5. Step 5: Solve for x
    x = 28,757,037,241/77,413
  6. Step 6: Final answer
    x = 371,475.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.