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Finding the Third Proportional to 127,194 and 201,362

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Solution

The third proportional to 127,194 and 201,362 is: 318,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,194 : 201,362 = 201,362 : x
  2. Step 2: Convert to fraction form
    127,194/201,362 = 201,362/x
  3. Step 3: Cross multiply
    127,194x = 201,362 × 201,362
  4. Step 4: Simplify right side
    127,194x = 40,546,655,044
  5. Step 5: Solve for x
    x = 40,546,655,044/127,194
  6. Step 6: Final answer
    x = 318,778.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.