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Finding the Third Proportional to 127,158 and 186,842

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Solution

The third proportional to 127,158 and 186,842 is: 274,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,158 : 186,842 = 186,842 : x
  2. Step 2: Convert to fraction form
    127,158/186,842 = 186,842/x
  3. Step 3: Cross multiply
    127,158x = 186,842 × 186,842
  4. Step 4: Simplify right side
    127,158x = 34,909,932,964
  5. Step 5: Solve for x
    x = 34,909,932,964/127,158
  6. Step 6: Final answer
    x = 274,539.81

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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.