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Finding the Third Proportional to 113,648 and 168,274

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Solution

The third proportional to 113,648 and 168,274 is: 249,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,648 : 168,274 = 168,274 : x
  2. Step 2: Convert to fraction form
    113,648/168,274 = 168,274/x
  3. Step 3: Cross multiply
    113,648x = 168,274 × 168,274
  4. Step 4: Simplify right side
    113,648x = 28,316,139,076
  5. Step 5: Solve for x
    x = 28,316,139,076/113,648
  6. Step 6: Final answer
    x = 249,156.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.