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Finding the Third Proportional to 51,009 and 77,641.75

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Solution

The third proportional to 51,009 and 77,641.75 is: 118,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009 : 77,641.75 = 77,641.75 : x
  2. Step 2: Convert to fraction form
    51,009/77,641.75 = 77,641.75/x
  3. Step 3: Cross multiply
    51,009x = 77,641.75 × 77,641.75
  4. Step 4: Simplify right side
    51,009x = 6,028,241,343.06
  5. Step 5: Solve for x
    x = 6,028,241,343.06/51,009
  6. Step 6: Final answer
    x = 118,179.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.