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Finding the Third Proportional to 59,936 and 130,124

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Solution

The third proportional to 59,936 and 130,124 is: 282,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,936 : 130,124 = 130,124 : x
  2. Step 2: Convert to fraction form
    59,936/130,124 = 130,124/x
  3. Step 3: Cross multiply
    59,936x = 130,124 × 130,124
  4. Step 4: Simplify right side
    59,936x = 16,932,255,376
  5. Step 5: Solve for x
    x = 16,932,255,376/59,936
  6. Step 6: Final answer
    x = 282,505.60

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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.