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Finding the Third Proportional to 75,894 and 177,315

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Solution

The third proportional to 75,894 and 177,315 is: 414,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894 : 177,315 = 177,315 : x
  2. Step 2: Convert to fraction form
    75,894/177,315 = 177,315/x
  3. Step 3: Cross multiply
    75,894x = 177,315 × 177,315
  4. Step 4: Simplify right side
    75,894x = 31,440,609,225
  5. Step 5: Solve for x
    x = 31,440,609,225/75,894
  6. Step 6: Final answer
    x = 414,270.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.