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Finding the Third Proportional to 73,104 and 116,310

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Solution

The third proportional to 73,104 and 116,310 is: 185,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,104 : 116,310 = 116,310 : x
  2. Step 2: Convert to fraction form
    73,104/116,310 = 116,310/x
  3. Step 3: Cross multiply
    73,104x = 116,310 × 116,310
  4. Step 4: Simplify right side
    73,104x = 13,528,016,100
  5. Step 5: Solve for x
    x = 13,528,016,100/73,104
  6. Step 6: Final answer
    x = 185,051.65

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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.