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Finding the Third Proportional to 69,689.25 and 148,369.50

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Solution

The third proportional to 69,689.25 and 148,369.50 is: 315,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,689.25 : 148,369.50 = 148,369.50 : x
  2. Step 2: Convert to fraction form
    69,689.25/148,369.50 = 148,369.50/x
  3. Step 3: Cross multiply
    69,689.25x = 148,369.50 × 148,369.50
  4. Step 4: Simplify right side
    69,689.25x = 22,013,508,530.25
  5. Step 5: Solve for x
    x = 22,013,508,530.25/69,689.25
  6. Step 6: Final answer
    x = 315,880.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.