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Finding the Third Proportional to 32,054.55 and 74,200.49

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Solution

The third proportional to 32,054.55 and 74,200.49 is: 171,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.55 : 74,200.49 = 74,200.49 : x
  2. Step 2: Convert to fraction form
    32,054.55/74,200.49 = 74,200.49/x
  3. Step 3: Cross multiply
    32,054.55x = 74,200.49 × 74,200.49
  4. Step 4: Simplify right side
    32,054.55x = 5,505,712,569.87
  5. Step 5: Solve for x
    x = 5,505,712,569.87/32,054.55
  6. Step 6: Final answer
    x = 171,760.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.