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Finding the Third Proportional to 91,084.75 and 127,371

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Solution

The third proportional to 91,084.75 and 127,371 is: 178,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,084.75 : 127,371 = 127,371 : x
  2. Step 2: Convert to fraction form
    91,084.75/127,371 = 127,371/x
  3. Step 3: Cross multiply
    91,084.75x = 127,371 × 127,371
  4. Step 4: Simplify right side
    91,084.75x = 16,223,371,641
  5. Step 5: Solve for x
    x = 16,223,371,641/91,084.75
  6. Step 6: Final answer
    x = 178,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.