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Finding the Third Proportional to 76,506 and 165,722

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Solution

The third proportional to 76,506 and 165,722 is: 358,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506 : 165,722 = 165,722 : x
  2. Step 2: Convert to fraction form
    76,506/165,722 = 165,722/x
  3. Step 3: Cross multiply
    76,506x = 165,722 × 165,722
  4. Step 4: Simplify right side
    76,506x = 27,463,781,284
  5. Step 5: Solve for x
    x = 27,463,781,284/76,506
  6. Step 6: Final answer
    x = 358,975.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.