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Finding the Third Proportional to 59,464.13 and 86,523.19

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Solution

The third proportional to 59,464.13 and 86,523.19 is: 125,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,464.13 : 86,523.19 = 86,523.19 : x
  2. Step 2: Convert to fraction form
    59,464.13/86,523.19 = 86,523.19/x
  3. Step 3: Cross multiply
    59,464.13x = 86,523.19 × 86,523.19
  4. Step 4: Simplify right side
    59,464.13x = 7,486,261,975.16
  5. Step 5: Solve for x
    x = 7,486,261,975.16/59,464.13
  6. Step 6: Final answer
    x = 125,895.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.