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Finding the Third Proportional to 107,367.75 and 242,573.63

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Solution

The third proportional to 107,367.75 and 242,573.63 is: 548,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,367.75 : 242,573.63 = 242,573.63 : x
  2. Step 2: Convert to fraction form
    107,367.75/242,573.63 = 242,573.63/x
  3. Step 3: Cross multiply
    107,367.75x = 242,573.63 × 242,573.63
  4. Step 4: Simplify right side
    107,367.75x = 58,841,963,545.64
  5. Step 5: Solve for x
    x = 58,841,963,545.64/107,367.75
  6. Step 6: Final answer
    x = 548,041.32

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.