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Finding the Third Proportional to 64,324.13 and 95,549.63

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Solution

The third proportional to 64,324.13 and 95,549.63 is: 141,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,324.13 : 95,549.63 = 95,549.63 : x
  2. Step 2: Convert to fraction form
    64,324.13/95,549.63 = 95,549.63/x
  3. Step 3: Cross multiply
    64,324.13x = 95,549.63 × 95,549.63
  4. Step 4: Simplify right side
    64,324.13x = 9,129,730,837.64
  5. Step 5: Solve for x
    x = 9,129,730,837.64/64,324.13
  6. Step 6: Final answer
    x = 141,933.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.