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Finding the Third Proportional to 59,616 and 124,124

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Solution

The third proportional to 59,616 and 124,124 is: 258,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,616 : 124,124 = 124,124 : x
  2. Step 2: Convert to fraction form
    59,616/124,124 = 124,124/x
  3. Step 3: Cross multiply
    59,616x = 124,124 × 124,124
  4. Step 4: Simplify right side
    59,616x = 15,406,767,376
  5. Step 5: Solve for x
    x = 15,406,767,376/59,616
  6. Step 6: Final answer
    x = 258,433.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.