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Finding the Third Proportional to 76,748 and 165,590

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Solution

The third proportional to 76,748 and 165,590 is: 357,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,748 : 165,590 = 165,590 : x
  2. Step 2: Convert to fraction form
    76,748/165,590 = 165,590/x
  3. Step 3: Cross multiply
    76,748x = 165,590 × 165,590
  4. Step 4: Simplify right side
    76,748x = 27,420,048,100
  5. Step 5: Solve for x
    x = 27,420,048,100/76,748
  6. Step 6: Final answer
    x = 357,273.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.