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Finding the Third Proportional to 64,415.25 and 97,329.09

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Solution

The third proportional to 64,415.25 and 97,329.09 is: 147,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,415.25 : 97,329.09 = 97,329.09 : x
  2. Step 2: Convert to fraction form
    64,415.25/97,329.09 = 97,329.09/x
  3. Step 3: Cross multiply
    64,415.25x = 97,329.09 × 97,329.09
  4. Step 4: Simplify right side
    64,415.25x = 9,472,952,490.20
  5. Step 5: Solve for x
    x = 9,472,952,490.20/64,415.25
  6. Step 6: Final answer
    x = 147,060.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.