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Finding the Third Proportional to 50,618.25 and 78,580.13

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Solution

The third proportional to 50,618.25 and 78,580.13 is: 121,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,618.25 : 78,580.13 = 78,580.13 : x
  2. Step 2: Convert to fraction form
    50,618.25/78,580.13 = 78,580.13/x
  3. Step 3: Cross multiply
    50,618.25x = 78,580.13 × 78,580.13
  4. Step 4: Simplify right side
    50,618.25x = 6,174,836,045.02
  5. Step 5: Solve for x
    x = 6,174,836,045.02/50,618.25
  6. Step 6: Final answer
    x = 121,988.34

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Why These Related Problems?

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