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Finding the Third Proportional to 121,601 and 260,023

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Solution

The third proportional to 121,601 and 260,023 is: 556,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,601 : 260,023 = 260,023 : x
  2. Step 2: Convert to fraction form
    121,601/260,023 = 260,023/x
  3. Step 3: Cross multiply
    121,601x = 260,023 × 260,023
  4. Step 4: Simplify right side
    121,601x = 67,611,960,529
  5. Step 5: Solve for x
    x = 67,611,960,529/121,601
  6. Step 6: Final answer
    x = 556,014.84

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Why These Related Problems?

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