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Finding the Third Proportional to 55,083 and 74,020.50

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Solution

The third proportional to 55,083 and 74,020.50 is: 99,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083 : 74,020.50 = 74,020.50 : x
  2. Step 2: Convert to fraction form
    55,083/74,020.50 = 74,020.50/x
  3. Step 3: Cross multiply
    55,083x = 74,020.50 × 74,020.50
  4. Step 4: Simplify right side
    55,083x = 5,479,034,420.25
  5. Step 5: Solve for x
    x = 5,479,034,420.25/55,083
  6. Step 6: Final answer
    x = 99,468.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.