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Finding the Third Proportional to 71,833.50 and 114,068.25

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Solution

The third proportional to 71,833.50 and 114,068.25 is: 181,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.50 : 114,068.25 = 114,068.25 : x
  2. Step 2: Convert to fraction form
    71,833.50/114,068.25 = 114,068.25/x
  3. Step 3: Cross multiply
    71,833.50x = 114,068.25 × 114,068.25
  4. Step 4: Simplify right side
    71,833.50x = 13,011,565,658.06
  5. Step 5: Solve for x
    x = 13,011,565,658.06/71,833.50
  6. Step 6: Final answer
    x = 181,135.06

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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.