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Finding the Third Proportional to 50,746.13 and 70,945.88

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Solution

The third proportional to 50,746.13 and 70,945.88 is: 99,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,746.13 : 70,945.88 = 70,945.88 : x
  2. Step 2: Convert to fraction form
    50,746.13/70,945.88 = 70,945.88/x
  3. Step 3: Cross multiply
    50,746.13x = 70,945.88 × 70,945.88
  4. Step 4: Simplify right side
    50,746.13x = 5,033,317,179.52
  5. Step 5: Solve for x
    x = 5,033,317,179.52/50,746.13
  6. Step 6: Final answer
    x = 99,186.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.