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Finding the Third Proportional to 104,056 and 221,076

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Solution

The third proportional to 104,056 and 221,076 is: 469,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,056 : 221,076 = 221,076 : x
  2. Step 2: Convert to fraction form
    104,056/221,076 = 221,076/x
  3. Step 3: Cross multiply
    104,056x = 221,076 × 221,076
  4. Step 4: Simplify right side
    104,056x = 48,874,597,776
  5. Step 5: Solve for x
    x = 48,874,597,776/104,056
  6. Step 6: Final answer
    x = 469,695.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.