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Finding the Third Proportional to 48,681.50 and 101,062

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Solution

The third proportional to 48,681.50 and 101,062 is: 209,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681.50 : 101,062 = 101,062 : x
  2. Step 2: Convert to fraction form
    48,681.50/101,062 = 101,062/x
  3. Step 3: Cross multiply
    48,681.50x = 101,062 × 101,062
  4. Step 4: Simplify right side
    48,681.50x = 10,213,527,844
  5. Step 5: Solve for x
    x = 10,213,527,844/48,681.50
  6. Step 6: Final answer
    x = 209,803.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.