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Finding the Third Proportional to 34,137.70 and 74,528.86

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Solution

The third proportional to 34,137.70 and 74,528.86 is: 162,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.70 : 74,528.86 = 74,528.86 : x
  2. Step 2: Convert to fraction form
    34,137.70/74,528.86 = 74,528.86/x
  3. Step 3: Cross multiply
    34,137.70x = 74,528.86 × 74,528.86
  4. Step 4: Simplify right side
    34,137.70x = 5,554,550,879.74
  5. Step 5: Solve for x
    x = 5,554,550,879.74/34,137.70
  6. Step 6: Final answer
    x = 162,710.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.