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Finding the Third Proportional to 72,816 and 115,784

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Solution

The third proportional to 72,816 and 115,784 is: 184,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,816 : 115,784 = 115,784 : x
  2. Step 2: Convert to fraction form
    72,816/115,784 = 115,784/x
  3. Step 3: Cross multiply
    72,816x = 115,784 × 115,784
  4. Step 4: Simplify right side
    72,816x = 13,405,934,656
  5. Step 5: Solve for x
    x = 13,405,934,656/72,816
  6. Step 6: Final answer
    x = 184,106.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.