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Finding the Third Proportional to 70,493 and 152,602

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Solution

The third proportional to 70,493 and 152,602 is: 330,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493 : 152,602 = 152,602 : x
  2. Step 2: Convert to fraction form
    70,493/152,602 = 152,602/x
  3. Step 3: Cross multiply
    70,493x = 152,602 × 152,602
  4. Step 4: Simplify right side
    70,493x = 23,287,370,404
  5. Step 5: Solve for x
    x = 23,287,370,404/70,493
  6. Step 6: Final answer
    x = 330,350.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.