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Finding the Third Proportional to 70,974 and 106,470

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Solution

The third proportional to 70,974 and 106,470 is: 159,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974 : 106,470 = 106,470 : x
  2. Step 2: Convert to fraction form
    70,974/106,470 = 106,470/x
  3. Step 3: Cross multiply
    70,974x = 106,470 × 106,470
  4. Step 4: Simplify right side
    70,974x = 11,335,860,900
  5. Step 5: Solve for x
    x = 11,335,860,900/70,974
  6. Step 6: Final answer
    x = 159,718.50

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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.