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Finding the Third Proportional to 113,656 and 168,284

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Solution

The third proportional to 113,656 and 168,284 is: 249,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,656 : 168,284 = 168,284 : x
  2. Step 2: Convert to fraction form
    113,656/168,284 = 168,284/x
  3. Step 3: Cross multiply
    113,656x = 168,284 × 168,284
  4. Step 4: Simplify right side
    113,656x = 28,319,504,656
  5. Step 5: Solve for x
    x = 28,319,504,656/113,656
  6. Step 6: Final answer
    x = 249,168.58

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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.