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Finding the Third Proportional to 64,521.56 and 141,436.13

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Solution

The third proportional to 64,521.56 and 141,436.13 is: 310,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,521.56 : 141,436.13 = 141,436.13 : x
  2. Step 2: Convert to fraction form
    64,521.56/141,436.13 = 141,436.13/x
  3. Step 3: Cross multiply
    64,521.56x = 141,436.13 × 141,436.13
  4. Step 4: Simplify right side
    64,521.56x = 20,004,177,455.02
  5. Step 5: Solve for x
    x = 20,004,177,455.02/64,521.56
  6. Step 6: Final answer
    x = 310,038.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.