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Finding the Third Proportional to 55,518.75 and 122,104.13

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Solution

The third proportional to 55,518.75 and 122,104.13 is: 268,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,518.75 : 122,104.13 = 122,104.13 : x
  2. Step 2: Convert to fraction form
    55,518.75/122,104.13 = 122,104.13/x
  3. Step 3: Cross multiply
    55,518.75x = 122,104.13 × 122,104.13
  4. Step 4: Simplify right side
    55,518.75x = 14,909,417,342.02
  5. Step 5: Solve for x
    x = 14,909,417,342.02/55,518.75
  6. Step 6: Final answer
    x = 268,547.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.