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Finding the Third Proportional to 135,672 and 199,584

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Solution

The third proportional to 135,672 and 199,584 is: 293,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672 : 199,584 = 199,584 : x
  2. Step 2: Convert to fraction form
    135,672/199,584 = 199,584/x
  3. Step 3: Cross multiply
    135,672x = 199,584 × 199,584
  4. Step 4: Simplify right side
    135,672x = 39,833,773,056
  5. Step 5: Solve for x
    x = 39,833,773,056/135,672
  6. Step 6: Final answer
    x = 293,603.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.