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Finding the Third Proportional to 75,243 and 177,610.50

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Solution

The third proportional to 75,243 and 177,610.50 is: 419,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,243 : 177,610.50 = 177,610.50 : x
  2. Step 2: Convert to fraction form
    75,243/177,610.50 = 177,610.50/x
  3. Step 3: Cross multiply
    75,243x = 177,610.50 × 177,610.50
  4. Step 4: Simplify right side
    75,243x = 31,545,489,710.25
  5. Step 5: Solve for x
    x = 31,545,489,710.25/75,243
  6. Step 6: Final answer
    x = 419,248.17

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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.