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Finding the Third Proportional to 72,059.50 and 115,115.50

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Solution

The third proportional to 72,059.50 and 115,115.50 is: 183,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,059.50 : 115,115.50 = 115,115.50 : x
  2. Step 2: Convert to fraction form
    72,059.50/115,115.50 = 115,115.50/x
  3. Step 3: Cross multiply
    72,059.50x = 115,115.50 × 115,115.50
  4. Step 4: Simplify right side
    72,059.50x = 13,251,578,340.25
  5. Step 5: Solve for x
    x = 13,251,578,340.25/72,059.50
  6. Step 6: Final answer
    x = 183,897.73

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.