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Finding the Third Proportional to 58,846.13 and 129,568.88

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Solution

The third proportional to 58,846.13 and 129,568.88 is: 285,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,846.13 : 129,568.88 = 129,568.88 : x
  2. Step 2: Convert to fraction form
    58,846.13/129,568.88 = 129,568.88/x
  3. Step 3: Cross multiply
    58,846.13x = 129,568.88 × 129,568.88
  4. Step 4: Simplify right side
    58,846.13x = 16,788,093,368.77
  5. Step 5: Solve for x
    x = 16,788,093,368.77/58,846.13
  6. Step 6: Final answer
    x = 285,288.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.