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Finding the Third Proportional to 91,021.50 and 133,555.50

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Solution

The third proportional to 91,021.50 and 133,555.50 is: 195,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,021.50 : 133,555.50 = 133,555.50 : x
  2. Step 2: Convert to fraction form
    91,021.50/133,555.50 = 133,555.50/x
  3. Step 3: Cross multiply
    91,021.50x = 133,555.50 × 133,555.50
  4. Step 4: Simplify right side
    91,021.50x = 17,837,071,580.25
  5. Step 5: Solve for x
    x = 17,837,071,580.25/91,021.50
  6. Step 6: Final answer
    x = 195,965.48

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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.