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Finding the Third Proportional to 70,616 and 151,465

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Solution

The third proportional to 70,616 and 151,465 is: 324,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,616 : 151,465 = 151,465 : x
  2. Step 2: Convert to fraction form
    70,616/151,465 = 151,465/x
  3. Step 3: Cross multiply
    70,616x = 151,465 × 151,465
  4. Step 4: Simplify right side
    70,616x = 22,941,646,225
  5. Step 5: Solve for x
    x = 22,941,646,225/70,616
  6. Step 6: Final answer
    x = 324,878.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.