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Finding the Third Proportional to 127,056 and 197,838

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Solution

The third proportional to 127,056 and 197,838 is: 308,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 197,838 = 197,838 : x
  2. Step 2: Convert to fraction form
    127,056/197,838 = 197,838/x
  3. Step 3: Cross multiply
    127,056x = 197,838 × 197,838
  4. Step 4: Simplify right side
    127,056x = 39,139,874,244
  5. Step 5: Solve for x
    x = 39,139,874,244/127,056
  6. Step 6: Final answer
    x = 308,052.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.