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Finding the Third Proportional to 48,601.69 and 77,276.53

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Solution

The third proportional to 48,601.69 and 77,276.53 is: 122,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,601.69 : 77,276.53 = 77,276.53 : x
  2. Step 2: Convert to fraction form
    48,601.69/77,276.53 = 77,276.53/x
  3. Step 3: Cross multiply
    48,601.69x = 77,276.53 × 77,276.53
  4. Step 4: Simplify right side
    48,601.69x = 5,971,662,282.03
  5. Step 5: Solve for x
    x = 5,971,662,282.03/48,601.69
  6. Step 6: Final answer
    x = 122,869.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.