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Finding the Third Proportional to 72,081 and 114,783.50

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Solution

The third proportional to 72,081 and 114,783.50 is: 182,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,081 : 114,783.50 = 114,783.50 : x
  2. Step 2: Convert to fraction form
    72,081/114,783.50 = 114,783.50/x
  3. Step 3: Cross multiply
    72,081x = 114,783.50 × 114,783.50
  4. Step 4: Simplify right side
    72,081x = 13,175,251,872.25
  5. Step 5: Solve for x
    x = 13,175,251,872.25/72,081
  6. Step 6: Final answer
    x = 182,783.98

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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.