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Finding the Third Proportional to 61,541.44 and 132,499.13

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Solution

The third proportional to 61,541.44 and 132,499.13 is: 285,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,541.44 : 132,499.13 = 132,499.13 : x
  2. Step 2: Convert to fraction form
    61,541.44/132,499.13 = 132,499.13/x
  3. Step 3: Cross multiply
    61,541.44x = 132,499.13 × 132,499.13
  4. Step 4: Simplify right side
    61,541.44x = 17,556,018,125.77
  5. Step 5: Solve for x
    x = 17,556,018,125.77/61,541.44
  6. Step 6: Final answer
    x = 285,271.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.