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Finding the Third Proportional to 42,365.53 and 90,360.56

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Solution

The third proportional to 42,365.53 and 90,360.56 is: 192,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.53 : 90,360.56 = 90,360.56 : x
  2. Step 2: Convert to fraction form
    42,365.53/90,360.56 = 90,360.56/x
  3. Step 3: Cross multiply
    42,365.53x = 90,360.56 × 90,360.56
  4. Step 4: Simplify right side
    42,365.53x = 8,165,031,255.32
  5. Step 5: Solve for x
    x = 8,165,031,255.32/42,365.53
  6. Step 6: Final answer
    x = 192,728.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.