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Finding the Third Proportional to 74,304 and 106,224

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Solution

The third proportional to 74,304 and 106,224 is: 151,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,304 : 106,224 = 106,224 : x
  2. Step 2: Convert to fraction form
    74,304/106,224 = 106,224/x
  3. Step 3: Cross multiply
    74,304x = 106,224 × 106,224
  4. Step 4: Simplify right side
    74,304x = 11,283,538,176
  5. Step 5: Solve for x
    x = 11,283,538,176/74,304
  6. Step 6: Final answer
    x = 151,856.40

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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.