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Finding the Third Proportional to 72,064.69 and 107,762.91

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Solution

The third proportional to 72,064.69 and 107,762.91 is: 161,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,064.69 : 107,762.91 = 107,762.91 : x
  2. Step 2: Convert to fraction form
    72,064.69/107,762.91 = 107,762.91/x
  3. Step 3: Cross multiply
    72,064.69x = 107,762.91 × 107,762.91
  4. Step 4: Simplify right side
    72,064.69x = 11,612,843,963.45
  5. Step 5: Solve for x
    x = 11,612,843,963.45/72,064.69
  6. Step 6: Final answer
    x = 161,144.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.