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Finding the Third Proportional to 60,450.05 and 97,663.22

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Solution

The third proportional to 60,450.05 and 97,663.22 is: 157,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,450.05 : 97,663.22 = 97,663.22 : x
  2. Step 2: Convert to fraction form
    60,450.05/97,663.22 = 97,663.22/x
  3. Step 3: Cross multiply
    60,450.05x = 97,663.22 × 97,663.22
  4. Step 4: Simplify right side
    60,450.05x = 9,538,104,296.61
  5. Step 5: Solve for x
    x = 9,538,104,296.61/60,450.05
  6. Step 6: Final answer
    x = 157,784.89

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.