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Finding the Third Proportional to 55,053 and 76,602.75

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Solution

The third proportional to 55,053 and 76,602.75 is: 106,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,053 : 76,602.75 = 76,602.75 : x
  2. Step 2: Convert to fraction form
    55,053/76,602.75 = 76,602.75/x
  3. Step 3: Cross multiply
    55,053x = 76,602.75 × 76,602.75
  4. Step 4: Simplify right side
    55,053x = 5,867,981,307.56
  5. Step 5: Solve for x
    x = 5,867,981,307.56/55,053
  6. Step 6: Final answer
    x = 106,587.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.