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Finding the Third Proportional to 58,517 and 138,053

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Solution

The third proportional to 58,517 and 138,053 is: 325,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,517 : 138,053 = 138,053 : x
  2. Step 2: Convert to fraction form
    58,517/138,053 = 138,053/x
  3. Step 3: Cross multiply
    58,517x = 138,053 × 138,053
  4. Step 4: Simplify right side
    58,517x = 19,058,630,809
  5. Step 5: Solve for x
    x = 19,058,630,809/58,517
  6. Step 6: Final answer
    x = 325,693.91

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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.