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Finding the Third Proportional to 67,703.63 and 146,706.75

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Solution

The third proportional to 67,703.63 and 146,706.75 is: 317,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,703.63 : 146,706.75 = 146,706.75 : x
  2. Step 2: Convert to fraction form
    67,703.63/146,706.75 = 146,706.75/x
  3. Step 3: Cross multiply
    67,703.63x = 146,706.75 × 146,706.75
  4. Step 4: Simplify right side
    67,703.63x = 21,522,870,495.56
  5. Step 5: Solve for x
    x = 21,522,870,495.56/67,703.63
  6. Step 6: Final answer
    x = 317,898.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.