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Finding the Third Proportional to 55,345.78 and 80,840.53

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Solution

The third proportional to 55,345.78 and 80,840.53 is: 118,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,345.78 : 80,840.53 = 80,840.53 : x
  2. Step 2: Convert to fraction form
    55,345.78/80,840.53 = 80,840.53/x
  3. Step 3: Cross multiply
    55,345.78x = 80,840.53 × 80,840.53
  4. Step 4: Simplify right side
    55,345.78x = 6,535,191,492.78
  5. Step 5: Solve for x
    x = 6,535,191,492.78/55,345.78
  6. Step 6: Final answer
    x = 118,079.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.