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Finding the Third Proportional to 75,627 and 151,254

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Solution

The third proportional to 75,627 and 151,254 is: 302,508

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,627 : 151,254 = 151,254 : x
  2. Step 2: Convert to fraction form
    75,627/151,254 = 151,254/x
  3. Step 3: Cross multiply
    75,627x = 151,254 × 151,254
  4. Step 4: Simplify right side
    75,627x = 22,877,772,516
  5. Step 5: Solve for x
    x = 22,877,772,516/75,627
  6. Step 6: Final answer
    x = 302,508

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.