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Finding the Third Proportional to 77,473 and 119,713

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Solution

The third proportional to 77,473 and 119,713 is: 184,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,473 : 119,713 = 119,713 : x
  2. Step 2: Convert to fraction form
    77,473/119,713 = 119,713/x
  3. Step 3: Cross multiply
    77,473x = 119,713 × 119,713
  4. Step 4: Simplify right side
    77,473x = 14,331,202,369
  5. Step 5: Solve for x
    x = 14,331,202,369/77,473
  6. Step 6: Final answer
    x = 184,983.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.