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Finding the Third Proportional to 50,973.75 and 78,734.25

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Solution

The third proportional to 50,973.75 and 78,734.25 is: 121,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973.75 : 78,734.25 = 78,734.25 : x
  2. Step 2: Convert to fraction form
    50,973.75/78,734.25 = 78,734.25/x
  3. Step 3: Cross multiply
    50,973.75x = 78,734.25 × 78,734.25
  4. Step 4: Simplify right side
    50,973.75x = 6,199,082,123.06
  5. Step 5: Solve for x
    x = 6,199,082,123.06/50,973.75
  6. Step 6: Final answer
    x = 121,613.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.