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Finding the Third Proportional to 50,483.25 and 78,159

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Solution

The third proportional to 50,483.25 and 78,159 is: 121,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483.25 : 78,159 = 78,159 : x
  2. Step 2: Convert to fraction form
    50,483.25/78,159 = 78,159/x
  3. Step 3: Cross multiply
    50,483.25x = 78,159 × 78,159
  4. Step 4: Simplify right side
    50,483.25x = 6,108,829,281
  5. Step 5: Solve for x
    x = 6,108,829,281/50,483.25
  6. Step 6: Final answer
    x = 121,007.05

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