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Finding the Third Proportional to 62,592 and 130,383

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Solution

The third proportional to 62,592 and 130,383 is: 271,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,592 : 130,383 = 130,383 : x
  2. Step 2: Convert to fraction form
    62,592/130,383 = 130,383/x
  3. Step 3: Cross multiply
    62,592x = 130,383 × 130,383
  4. Step 4: Simplify right side
    62,592x = 16,999,726,689
  5. Step 5: Solve for x
    x = 16,999,726,689/62,592
  6. Step 6: Final answer
    x = 271,595.84

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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.