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Finding the Third Proportional to 70,516.38 and 146,865.13

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Solution

The third proportional to 70,516.38 and 146,865.13 is: 305,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516.38 : 146,865.13 = 146,865.13 : x
  2. Step 2: Convert to fraction form
    70,516.38/146,865.13 = 146,865.13/x
  3. Step 3: Cross multiply
    70,516.38x = 146,865.13 × 146,865.13
  4. Step 4: Simplify right side
    70,516.38x = 21,569,364,941.27
  5. Step 5: Solve for x
    x = 21,569,364,941.27/70,516.38
  6. Step 6: Final answer
    x = 305,877.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.