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Finding the Third Proportional to 72,523.16 and 110,869.22

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Solution

The third proportional to 72,523.16 and 110,869.22 is: 169,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,523.16 : 110,869.22 = 110,869.22 : x
  2. Step 2: Convert to fraction form
    72,523.16/110,869.22 = 110,869.22/x
  3. Step 3: Cross multiply
    72,523.16x = 110,869.22 × 110,869.22
  4. Step 4: Simplify right side
    72,523.16x = 12,291,984,965.49
  5. Step 5: Solve for x
    x = 12,291,984,965.49/72,523.16
  6. Step 6: Final answer
    x = 169,490.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.