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Finding the Third Proportional to 49,254.75 and 96,048.28

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Solution

The third proportional to 49,254.75 and 96,048.28 is: 187,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,254.75 : 96,048.28 = 96,048.28 : x
  2. Step 2: Convert to fraction form
    49,254.75/96,048.28 = 96,048.28/x
  3. Step 3: Cross multiply
    49,254.75x = 96,048.28 × 96,048.28
  4. Step 4: Simplify right side
    49,254.75x = 9,225,272,331.08
  5. Step 5: Solve for x
    x = 9,225,272,331.08/49,254.75
  6. Step 6: Final answer
    x = 187,297.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.