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Finding the Third Proportional to 75,146 and 177,712

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Solution

The third proportional to 75,146 and 177,712 is: 420,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146 : 177,712 = 177,712 : x
  2. Step 2: Convert to fraction form
    75,146/177,712 = 177,712/x
  3. Step 3: Cross multiply
    75,146x = 177,712 × 177,712
  4. Step 4: Simplify right side
    75,146x = 31,581,554,944
  5. Step 5: Solve for x
    x = 31,581,554,944/75,146
  6. Step 6: Final answer
    x = 420,269.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.