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Finding the Third Proportional to 75,461 and 157,123

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Solution

The third proportional to 75,461 and 157,123 is: 327,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461 : 157,123 = 157,123 : x
  2. Step 2: Convert to fraction form
    75,461/157,123 = 157,123/x
  3. Step 3: Cross multiply
    75,461x = 157,123 × 157,123
  4. Step 4: Simplify right side
    75,461x = 24,687,637,129
  5. Step 5: Solve for x
    x = 24,687,637,129/75,461
  6. Step 6: Final answer
    x = 327,157.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.