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Finding the Third Proportional to 70,952 and 152,667

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Solution

The third proportional to 70,952 and 152,667 is: 328,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952 : 152,667 = 152,667 : x
  2. Step 2: Convert to fraction form
    70,952/152,667 = 152,667/x
  3. Step 3: Cross multiply
    70,952x = 152,667 × 152,667
  4. Step 4: Simplify right side
    70,952x = 23,307,212,889
  5. Step 5: Solve for x
    x = 23,307,212,889/70,952
  6. Step 6: Final answer
    x = 328,492.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.