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Finding the Third Proportional to 116,946 and 181,411

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Solution

The third proportional to 116,946 and 181,411 is: 281,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,946 : 181,411 = 181,411 : x
  2. Step 2: Convert to fraction form
    116,946/181,411 = 181,411/x
  3. Step 3: Cross multiply
    116,946x = 181,411 × 181,411
  4. Step 4: Simplify right side
    116,946x = 32,909,950,921
  5. Step 5: Solve for x
    x = 32,909,950,921/116,946
  6. Step 6: Final answer
    x = 281,411.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.