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Finding the Third Proportional to 113,567.06 and 165,064.50

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Solution

The third proportional to 113,567.06 and 165,064.50 is: 239,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,567.06 : 165,064.50 = 165,064.50 : x
  2. Step 2: Convert to fraction form
    113,567.06/165,064.50 = 165,064.50/x
  3. Step 3: Cross multiply
    113,567.06x = 165,064.50 × 165,064.50
  4. Step 4: Simplify right side
    113,567.06x = 27,246,289,160.25
  5. Step 5: Solve for x
    x = 27,246,289,160.25/113,567.06
  6. Step 6: Final answer
    x = 239,913.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.