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Finding the Third Proportional to 67,980.50 and 109,442.50

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Solution

The third proportional to 67,980.50 and 109,442.50 is: 176,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980.50 : 109,442.50 = 109,442.50 : x
  2. Step 2: Convert to fraction form
    67,980.50/109,442.50 = 109,442.50/x
  3. Step 3: Cross multiply
    67,980.50x = 109,442.50 × 109,442.50
  4. Step 4: Simplify right side
    67,980.50x = 11,977,660,806.25
  5. Step 5: Solve for x
    x = 11,977,660,806.25/67,980.50
  6. Step 6: Final answer
    x = 176,192.60

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.