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Finding the Third Proportional to 75,607 and 165,050

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Solution

The third proportional to 75,607 and 165,050 is: 360,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,607 : 165,050 = 165,050 : x
  2. Step 2: Convert to fraction form
    75,607/165,050 = 165,050/x
  3. Step 3: Cross multiply
    75,607x = 165,050 × 165,050
  4. Step 4: Simplify right side
    75,607x = 27,241,502,500
  5. Step 5: Solve for x
    x = 27,241,502,500/75,607
  6. Step 6: Final answer
    x = 360,303.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.