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Finding the Third Proportional to 127,116 and 186,423

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Solution

The third proportional to 127,116 and 186,423 is: 273,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116 : 186,423 = 186,423 : x
  2. Step 2: Convert to fraction form
    127,116/186,423 = 186,423/x
  3. Step 3: Cross multiply
    127,116x = 186,423 × 186,423
  4. Step 4: Simplify right side
    127,116x = 34,753,534,929
  5. Step 5: Solve for x
    x = 34,753,534,929/127,116
  6. Step 6: Final answer
    x = 273,400.16

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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.