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Finding the Third Proportional to 59,431.88 and 129,525.75

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Solution

The third proportional to 59,431.88 and 129,525.75 is: 282,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,431.88 : 129,525.75 = 129,525.75 : x
  2. Step 2: Convert to fraction form
    59,431.88/129,525.75 = 129,525.75/x
  3. Step 3: Cross multiply
    59,431.88x = 129,525.75 × 129,525.75
  4. Step 4: Simplify right side
    59,431.88x = 16,776,919,913.06
  5. Step 5: Solve for x
    x = 16,776,919,913.06/59,431.88
  6. Step 6: Final answer
    x = 282,288.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.