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Finding the Third Proportional to 127,018 and 186,855

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Solution

The third proportional to 127,018 and 186,855 is: 274,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,018 : 186,855 = 186,855 : x
  2. Step 2: Convert to fraction form
    127,018/186,855 = 186,855/x
  3. Step 3: Cross multiply
    127,018x = 186,855 × 186,855
  4. Step 4: Simplify right side
    127,018x = 34,914,791,025
  5. Step 5: Solve for x
    x = 34,914,791,025/127,018
  6. Step 6: Final answer
    x = 274,880.65

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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.