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Finding the Third Proportional to 62,326 and 93,470

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Solution

The third proportional to 62,326 and 93,470 is: 140,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,326 : 93,470 = 93,470 : x
  2. Step 2: Convert to fraction form
    62,326/93,470 = 93,470/x
  3. Step 3: Cross multiply
    62,326x = 93,470 × 93,470
  4. Step 4: Simplify right side
    62,326x = 8,736,640,900
  5. Step 5: Solve for x
    x = 8,736,640,900/62,326
  6. Step 6: Final answer
    x = 140,176.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.