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Finding the Third Proportional to 52,976 and 120,776

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Solution

The third proportional to 52,976 and 120,776 is: 275,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,976 : 120,776 = 120,776 : x
  2. Step 2: Convert to fraction form
    52,976/120,776 = 120,776/x
  3. Step 3: Cross multiply
    52,976x = 120,776 × 120,776
  4. Step 4: Simplify right side
    52,976x = 14,586,842,176
  5. Step 5: Solve for x
    x = 14,586,842,176/52,976
  6. Step 6: Final answer
    x = 275,348.12

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.