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Finding the Third Proportional to 121,656.94 and 260,126.44

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Solution

The third proportional to 121,656.94 and 260,126.44 is: 556,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,656.94 : 260,126.44 = 260,126.44 : x
  2. Step 2: Convert to fraction form
    121,656.94/260,126.44 = 260,126.44/x
  3. Step 3: Cross multiply
    121,656.94x = 260,126.44 × 260,126.44
  4. Step 4: Simplify right side
    121,656.94x = 67,665,763,486.44
  5. Step 5: Solve for x
    x = 67,665,763,486.44/121,656.94
  6. Step 6: Final answer
    x = 556,201.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.