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Finding the Third Proportional to 48,598.50 and 76,072.13

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Solution

The third proportional to 48,598.50 and 76,072.13 is: 119,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,598.50 : 76,072.13 = 76,072.13 : x
  2. Step 2: Convert to fraction form
    48,598.50/76,072.13 = 76,072.13/x
  3. Step 3: Cross multiply
    48,598.50x = 76,072.13 × 76,072.13
  4. Step 4: Simplify right side
    48,598.50x = 5,786,968,202.02
  5. Step 5: Solve for x
    x = 5,786,968,202.02/48,598.50
  6. Step 6: Final answer
    x = 119,077.10

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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.