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Finding the Third Proportional to 58,525 and 138,069

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Solution

The third proportional to 58,525 and 138,069 is: 325,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,525 : 138,069 = 138,069 : x
  2. Step 2: Convert to fraction form
    58,525/138,069 = 138,069/x
  3. Step 3: Cross multiply
    58,525x = 138,069 × 138,069
  4. Step 4: Simplify right side
    58,525x = 19,063,048,761
  5. Step 5: Solve for x
    x = 19,063,048,761/58,525
  6. Step 6: Final answer
    x = 325,724.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.