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Finding the Third Proportional to 127,058 and 197,841

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Solution

The third proportional to 127,058 and 197,841 is: 308,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,058 : 197,841 = 197,841 : x
  2. Step 2: Convert to fraction form
    127,058/197,841 = 197,841/x
  3. Step 3: Cross multiply
    127,058x = 197,841 × 197,841
  4. Step 4: Simplify right side
    127,058x = 39,141,061,281
  5. Step 5: Solve for x
    x = 39,141,061,281/127,058
  6. Step 6: Final answer
    x = 308,056.65

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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.