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Finding the Third Proportional to 107,464.50 and 165,705.50

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Solution

The third proportional to 107,464.50 and 165,705.50 is: 255,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,464.50 : 165,705.50 = 165,705.50 : x
  2. Step 2: Convert to fraction form
    107,464.50/165,705.50 = 165,705.50/x
  3. Step 3: Cross multiply
    107,464.50x = 165,705.50 × 165,705.50
  4. Step 4: Simplify right side
    107,464.50x = 27,458,312,730.25
  5. Step 5: Solve for x
    x = 27,458,312,730.25/107,464.50
  6. Step 6: Final answer
    x = 255,510.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.