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Finding the Third Proportional to 34,187.06 and 73,841.63

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Solution

The third proportional to 34,187.06 and 73,841.63 is: 159,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187.06 : 73,841.63 = 73,841.63 : x
  2. Step 2: Convert to fraction form
    34,187.06/73,841.63 = 73,841.63/x
  3. Step 3: Cross multiply
    34,187.06x = 73,841.63 × 73,841.63
  4. Step 4: Simplify right side
    34,187.06x = 5,452,585,582.64
  5. Step 5: Solve for x
    x = 5,452,585,582.64/34,187.06
  6. Step 6: Final answer
    x = 159,492.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.