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Finding the Third Proportional to 43,289 and 106,031.50

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Solution

The third proportional to 43,289 and 106,031.50 is: 259,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,289 : 106,031.50 = 106,031.50 : x
  2. Step 2: Convert to fraction form
    43,289/106,031.50 = 106,031.50/x
  3. Step 3: Cross multiply
    43,289x = 106,031.50 × 106,031.50
  4. Step 4: Simplify right side
    43,289x = 11,242,678,992.25
  5. Step 5: Solve for x
    x = 11,242,678,992.25/43,289
  6. Step 6: Final answer
    x = 259,712.14

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.