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Finding the Third Proportional to 75,672 and 113,508

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Solution

The third proportional to 75,672 and 113,508 is: 170,262

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672 : 113,508 = 113,508 : x
  2. Step 2: Convert to fraction form
    75,672/113,508 = 113,508/x
  3. Step 3: Cross multiply
    75,672x = 113,508 × 113,508
  4. Step 4: Simplify right side
    75,672x = 12,884,066,064
  5. Step 5: Solve for x
    x = 12,884,066,064/75,672
  6. Step 6: Final answer
    x = 170,262

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.