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Finding the Third Proportional to 58,633.88 and 138,275.44

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Solution

The third proportional to 58,633.88 and 138,275.44 is: 326,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,633.88 : 138,275.44 = 138,275.44 : x
  2. Step 2: Convert to fraction form
    58,633.88/138,275.44 = 138,275.44/x
  3. Step 3: Cross multiply
    58,633.88x = 138,275.44 × 138,275.44
  4. Step 4: Simplify right side
    58,633.88x = 19,120,096,615.82
  5. Step 5: Solve for x
    x = 19,120,096,615.82/58,633.88
  6. Step 6: Final answer
    x = 326,093.01

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