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Finding the Third Proportional to 90,477.75 and 133,085.13

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Solution

The third proportional to 90,477.75 and 133,085.13 is: 195,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,477.75 : 133,085.13 = 133,085.13 : x
  2. Step 2: Convert to fraction form
    90,477.75/133,085.13 = 133,085.13/x
  3. Step 3: Cross multiply
    90,477.75x = 133,085.13 × 133,085.13
  4. Step 4: Simplify right side
    90,477.75x = 17,711,650,496.27
  5. Step 5: Solve for x
    x = 17,711,650,496.27/90,477.75
  6. Step 6: Final answer
    x = 195,756.97

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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.