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Finding the Third Proportional to 117,586.13 and 177,472.69

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Solution

The third proportional to 117,586.13 and 177,472.69 is: 267,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,586.13 : 177,472.69 = 177,472.69 : x
  2. Step 2: Convert to fraction form
    117,586.13/177,472.69 = 177,472.69/x
  3. Step 3: Cross multiply
    117,586.13x = 177,472.69 × 177,472.69
  4. Step 4: Simplify right side
    117,586.13x = 31,496,554,808.47
  5. Step 5: Solve for x
    x = 31,496,554,808.47/117,586.13
  6. Step 6: Final answer
    x = 267,859.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.