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Finding the Third Proportional to 91,370.25 and 145,803.38

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Solution

The third proportional to 91,370.25 and 145,803.38 is: 232,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,370.25 : 145,803.38 = 145,803.38 : x
  2. Step 2: Convert to fraction form
    91,370.25/145,803.38 = 145,803.38/x
  3. Step 3: Cross multiply
    91,370.25x = 145,803.38 × 145,803.38
  4. Step 4: Simplify right side
    91,370.25x = 21,258,624,161.39
  5. Step 5: Solve for x
    x = 21,258,624,161.39/91,370.25
  6. Step 6: Final answer
    x = 232,664.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.