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Finding the Third Proportional to 67,931.50 and 148,205

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Solution

The third proportional to 67,931.50 and 148,205 is: 323,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,931.50 : 148,205 = 148,205 : x
  2. Step 2: Convert to fraction form
    67,931.50/148,205 = 148,205/x
  3. Step 3: Cross multiply
    67,931.50x = 148,205 × 148,205
  4. Step 4: Simplify right side
    67,931.50x = 21,964,722,025
  5. Step 5: Solve for x
    x = 21,964,722,025/67,931.50
  6. Step 6: Final answer
    x = 323,336.33

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Why These Related Problems?

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