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Finding the Third Proportional to 107,036.44 and 140,778

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Solution

The third proportional to 107,036.44 and 140,778 is: 185,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,036.44 : 140,778 = 140,778 : x
  2. Step 2: Convert to fraction form
    107,036.44/140,778 = 140,778/x
  3. Step 3: Cross multiply
    107,036.44x = 140,778 × 140,778
  4. Step 4: Simplify right side
    107,036.44x = 19,818,445,284
  5. Step 5: Solve for x
    x = 19,818,445,284/107,036.44
  6. Step 6: Final answer
    x = 185,156.06

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.