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Finding the Third Proportional to 45,998 and 99,254

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Solution

The third proportional to 45,998 and 99,254 is: 214,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,998 : 99,254 = 99,254 : x
  2. Step 2: Convert to fraction form
    45,998/99,254 = 99,254/x
  3. Step 3: Cross multiply
    45,998x = 99,254 × 99,254
  4. Step 4: Simplify right side
    45,998x = 9,851,356,516
  5. Step 5: Solve for x
    x = 9,851,356,516/45,998
  6. Step 6: Final answer
    x = 214,169.24

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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.