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Finding the Third Proportional to 125,056 and 193,664

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Solution

The third proportional to 125,056 and 193,664 is: 299,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,056 : 193,664 = 193,664 : x
  2. Step 2: Convert to fraction form
    125,056/193,664 = 193,664/x
  3. Step 3: Cross multiply
    125,056x = 193,664 × 193,664
  4. Step 4: Simplify right side
    125,056x = 37,505,744,896
  5. Step 5: Solve for x
    x = 37,505,744,896/125,056
  6. Step 6: Final answer
    x = 299,911.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.