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Finding the Third Proportional to 127,792.50 and 193,479.75

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Solution

The third proportional to 127,792.50 and 193,479.75 is: 292,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,792.50 : 193,479.75 = 193,479.75 : x
  2. Step 2: Convert to fraction form
    127,792.50/193,479.75 = 193,479.75/x
  3. Step 3: Cross multiply
    127,792.50x = 193,479.75 × 193,479.75
  4. Step 4: Simplify right side
    127,792.50x = 37,434,413,660.06
  5. Step 5: Solve for x
    x = 37,434,413,660.06/127,792.50
  6. Step 6: Final answer
    x = 292,931.23

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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.