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Finding the Third Proportional to 120,056 and 260,461

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Solution

The third proportional to 120,056 and 260,461 is: 565,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,056 : 260,461 = 260,461 : x
  2. Step 2: Convert to fraction form
    120,056/260,461 = 260,461/x
  3. Step 3: Cross multiply
    120,056x = 260,461 × 260,461
  4. Step 4: Simplify right side
    120,056x = 67,839,932,521
  5. Step 5: Solve for x
    x = 67,839,932,521/120,056
  6. Step 6: Final answer
    x = 565,069.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.