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Finding the Third Proportional to 59,364 and 129,032

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Solution

The third proportional to 59,364 and 129,032 is: 280,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,364 : 129,032 = 129,032 : x
  2. Step 2: Convert to fraction form
    59,364/129,032 = 129,032/x
  3. Step 3: Cross multiply
    59,364x = 129,032 × 129,032
  4. Step 4: Simplify right side
    59,364x = 16,649,257,024
  5. Step 5: Solve for x
    x = 16,649,257,024/59,364
  6. Step 6: Final answer
    x = 280,460.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.