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Finding the Third Proportional to 125,688 and 271,056

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Solution

The third proportional to 125,688 and 271,056 is: 584,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,688 : 271,056 = 271,056 : x
  2. Step 2: Convert to fraction form
    125,688/271,056 = 271,056/x
  3. Step 3: Cross multiply
    125,688x = 271,056 × 271,056
  4. Step 4: Simplify right side
    125,688x = 73,471,355,136
  5. Step 5: Solve for x
    x = 73,471,355,136/125,688
  6. Step 6: Final answer
    x = 584,553.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.