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Finding the Third Proportional to 74,837.25 and 160,051.50

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Solution

The third proportional to 74,837.25 and 160,051.50 is: 342,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,837.25 : 160,051.50 = 160,051.50 : x
  2. Step 2: Convert to fraction form
    74,837.25/160,051.50 = 160,051.50/x
  3. Step 3: Cross multiply
    74,837.25x = 160,051.50 × 160,051.50
  4. Step 4: Simplify right side
    74,837.25x = 25,616,482,652.25
  5. Step 5: Solve for x
    x = 25,616,482,652.25/74,837.25
  6. Step 6: Final answer
    x = 342,295.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.