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Finding the Third Proportional to 59,616 and 129,484

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Solution

The third proportional to 59,616 and 129,484 is: 281,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,616 : 129,484 = 129,484 : x
  2. Step 2: Convert to fraction form
    59,616/129,484 = 129,484/x
  3. Step 3: Cross multiply
    59,616x = 129,484 × 129,484
  4. Step 4: Simplify right side
    59,616x = 16,766,106,256
  5. Step 5: Solve for x
    x = 16,766,106,256/59,616
  6. Step 6: Final answer
    x = 281,235.01

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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.