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Finding the Third Proportional to 76,070 and 160,636

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Solution

The third proportional to 76,070 and 160,636 is: 339,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,070 : 160,636 = 160,636 : x
  2. Step 2: Convert to fraction form
    76,070/160,636 = 160,636/x
  3. Step 3: Cross multiply
    76,070x = 160,636 × 160,636
  4. Step 4: Simplify right side
    76,070x = 25,803,924,496
  5. Step 5: Solve for x
    x = 25,803,924,496/76,070
  6. Step 6: Final answer
    x = 339,212.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.