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Finding the Third Proportional to 58,537.88 and 138,139.88

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Solution

The third proportional to 58,537.88 and 138,139.88 is: 325,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,537.88 : 138,139.88 = 138,139.88 : x
  2. Step 2: Convert to fraction form
    58,537.88/138,139.88 = 138,139.88/x
  3. Step 3: Cross multiply
    58,537.88x = 138,139.88 × 138,139.88
  4. Step 4: Simplify right side
    58,537.88x = 19,082,625,065.02
  5. Step 5: Solve for x
    x = 19,082,625,065.02/58,537.88
  6. Step 6: Final answer
    x = 325,987.66

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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.