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Finding the Third Proportional to 59,302.13 and 129,250.69

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Solution

The third proportional to 59,302.13 and 129,250.69 is: 281,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,302.13 : 129,250.69 = 129,250.69 : x
  2. Step 2: Convert to fraction form
    59,302.13/129,250.69 = 129,250.69/x
  3. Step 3: Cross multiply
    59,302.13x = 129,250.69 × 129,250.69
  4. Step 4: Simplify right side
    59,302.13x = 16,705,740,219.22
  5. Step 5: Solve for x
    x = 16,705,740,219.22/59,302.13
  6. Step 6: Final answer
    x = 281,705.59

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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.