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Finding the Third Proportional to 47,712 and 107,598

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Solution

The third proportional to 47,712 and 107,598 is: 242,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 107,598 = 107,598 : x
  2. Step 2: Convert to fraction form
    47,712/107,598 = 107,598/x
  3. Step 3: Cross multiply
    47,712x = 107,598 × 107,598
  4. Step 4: Simplify right side
    47,712x = 11,577,329,604
  5. Step 5: Solve for x
    x = 11,577,329,604/47,712
  6. Step 6: Final answer
    x = 242,650.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.