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Finding the Third Proportional to 51,984.75 and 78,346.88

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Solution

The third proportional to 51,984.75 and 78,346.88 is: 118,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984.75 : 78,346.88 = 78,346.88 : x
  2. Step 2: Convert to fraction form
    51,984.75/78,346.88 = 78,346.88/x
  3. Step 3: Cross multiply
    51,984.75x = 78,346.88 × 78,346.88
  4. Step 4: Simplify right side
    51,984.75x = 6,138,232,822.27
  5. Step 5: Solve for x
    x = 6,138,232,822.27/51,984.75
  6. Step 6: Final answer
    x = 118,077.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.