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Finding the Third Proportional to 51,444 and 110,019.38

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Solution

The third proportional to 51,444 and 110,019.38 is: 235,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,444 : 110,019.38 = 110,019.38 : x
  2. Step 2: Convert to fraction form
    51,444/110,019.38 = 110,019.38/x
  3. Step 3: Cross multiply
    51,444x = 110,019.38 × 110,019.38
  4. Step 4: Simplify right side
    51,444x = 12,104,262,875.39
  5. Step 5: Solve for x
    x = 12,104,262,875.39/51,444
  6. Step 6: Final answer
    x = 235,290.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.