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Finding the Third Proportional to 91,735.50 and 137,176.75

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Solution

The third proportional to 91,735.50 and 137,176.75 is: 205,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,735.50 : 137,176.75 = 137,176.75 : x
  2. Step 2: Convert to fraction form
    91,735.50/137,176.75 = 137,176.75/x
  3. Step 3: Cross multiply
    91,735.50x = 137,176.75 × 137,176.75
  4. Step 4: Simplify right side
    91,735.50x = 18,817,460,740.56
  5. Step 5: Solve for x
    x = 18,817,460,740.56/91,735.50
  6. Step 6: Final answer
    x = 205,127.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.