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Finding the Third Proportional to 74,772 and 106,650

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Solution

The third proportional to 74,772 and 106,650 is: 152,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772 : 106,650 = 106,650 : x
  2. Step 2: Convert to fraction form
    74,772/106,650 = 106,650/x
  3. Step 3: Cross multiply
    74,772x = 106,650 × 106,650
  4. Step 4: Simplify right side
    74,772x = 11,374,222,500
  5. Step 5: Solve for x
    x = 11,374,222,500/74,772
  6. Step 6: Final answer
    x = 152,118.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.