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Finding the Third Proportional to 127,145 and 186,775

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Solution

The third proportional to 127,145 and 186,775 is: 274,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,145 : 186,775 = 186,775 : x
  2. Step 2: Convert to fraction form
    127,145/186,775 = 186,775/x
  3. Step 3: Cross multiply
    127,145x = 186,775 × 186,775
  4. Step 4: Simplify right side
    127,145x = 34,884,900,625
  5. Step 5: Solve for x
    x = 34,884,900,625/127,145
  6. Step 6: Final answer
    x = 274,371.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.