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Finding the Third Proportional to 70,575 and 151,383

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Solution

The third proportional to 70,575 and 151,383 is: 324,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,575 : 151,383 = 151,383 : x
  2. Step 2: Convert to fraction form
    70,575/151,383 = 151,383/x
  3. Step 3: Cross multiply
    70,575x = 151,383 × 151,383
  4. Step 4: Simplify right side
    70,575x = 22,916,812,689
  5. Step 5: Solve for x
    x = 22,916,812,689/70,575
  6. Step 6: Final answer
    x = 324,715.73

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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.