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Finding the Third Proportional to 67,900.50 and 99,770

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Solution

The third proportional to 67,900.50 and 99,770 is: 146,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,900.50 : 99,770 = 99,770 : x
  2. Step 2: Convert to fraction form
    67,900.50/99,770 = 99,770/x
  3. Step 3: Cross multiply
    67,900.50x = 99,770 × 99,770
  4. Step 4: Simplify right side
    67,900.50x = 9,954,052,900
  5. Step 5: Solve for x
    x = 9,954,052,900/67,900.50
  6. Step 6: Final answer
    x = 146,597.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.