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Finding the Third Proportional to 59,546 and 130,252

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Solution

The third proportional to 59,546 and 130,252 is: 284,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,546 : 130,252 = 130,252 : x
  2. Step 2: Convert to fraction form
    59,546/130,252 = 130,252/x
  3. Step 3: Cross multiply
    59,546x = 130,252 × 130,252
  4. Step 4: Simplify right side
    59,546x = 16,965,583,504
  5. Step 5: Solve for x
    x = 16,965,583,504/59,546
  6. Step 6: Final answer
    x = 284,915.59

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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.