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Finding the Third Proportional to 55,362 and 85,888.13

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Solution

The third proportional to 55,362 and 85,888.13 is: 133,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,362 : 85,888.13 = 85,888.13 : x
  2. Step 2: Convert to fraction form
    55,362/85,888.13 = 85,888.13/x
  3. Step 3: Cross multiply
    55,362x = 85,888.13 × 85,888.13
  4. Step 4: Simplify right side
    55,362x = 7,376,770,016.02
  5. Step 5: Solve for x
    x = 7,376,770,016.02/55,362
  6. Step 6: Final answer
    x = 133,246.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.