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Finding the Third Proportional to 91,546.45 and 145,674.70

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Solution

The third proportional to 91,546.45 and 145,674.70 is: 231,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,546.45 : 145,674.70 = 145,674.70 : x
  2. Step 2: Convert to fraction form
    91,546.45/145,674.70 = 145,674.70/x
  3. Step 3: Cross multiply
    91,546.45x = 145,674.70 × 145,674.70
  4. Step 4: Simplify right side
    91,546.45x = 21,221,119,130.56
  5. Step 5: Solve for x
    x = 21,221,119,130.56/91,546.45
  6. Step 6: Final answer
    x = 231,807.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.