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Finding the Third Proportional to 76,071 and 119,329.50

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Solution

The third proportional to 76,071 and 119,329.50 is: 187,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071 : 119,329.50 = 119,329.50 : x
  2. Step 2: Convert to fraction form
    76,071/119,329.50 = 119,329.50/x
  3. Step 3: Cross multiply
    76,071x = 119,329.50 × 119,329.50
  4. Step 4: Simplify right side
    76,071x = 14,239,529,570.25
  5. Step 5: Solve for x
    x = 14,239,529,570.25/76,071
  6. Step 6: Final answer
    x = 187,187.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.