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Finding the Third Proportional to 116,913 and 182,214

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Solution

The third proportional to 116,913 and 182,214 is: 283,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,913 : 182,214 = 182,214 : x
  2. Step 2: Convert to fraction form
    116,913/182,214 = 182,214/x
  3. Step 3: Cross multiply
    116,913x = 182,214 × 182,214
  4. Step 4: Simplify right side
    116,913x = 33,201,941,796
  5. Step 5: Solve for x
    x = 33,201,941,796/116,913
  6. Step 6: Final answer
    x = 283,988.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.