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Finding the Third Proportional to 91,986.50 and 134,951.75

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Solution

The third proportional to 91,986.50 and 134,951.75 is: 197,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,986.50 : 134,951.75 = 134,951.75 : x
  2. Step 2: Convert to fraction form
    91,986.50/134,951.75 = 134,951.75/x
  3. Step 3: Cross multiply
    91,986.50x = 134,951.75 × 134,951.75
  4. Step 4: Simplify right side
    91,986.50x = 18,211,974,828.06
  5. Step 5: Solve for x
    x = 18,211,974,828.06/91,986.50
  6. Step 6: Final answer
    x = 197,985.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.