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Finding the Third Proportional to 59,014 and 129,068

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Solution

The third proportional to 59,014 and 129,068 is: 282,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,014 : 129,068 = 129,068 : x
  2. Step 2: Convert to fraction form
    59,014/129,068 = 129,068/x
  3. Step 3: Cross multiply
    59,014x = 129,068 × 129,068
  4. Step 4: Simplify right side
    59,014x = 16,658,548,624
  5. Step 5: Solve for x
    x = 16,658,548,624/59,014
  6. Step 6: Final answer
    x = 282,281.30

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Why These Related Problems?

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