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Finding the Third Proportional to 106,320 and 163,560

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Solution

The third proportional to 106,320 and 163,560 is: 251,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,320 : 163,560 = 163,560 : x
  2. Step 2: Convert to fraction form
    106,320/163,560 = 163,560/x
  3. Step 3: Cross multiply
    106,320x = 163,560 × 163,560
  4. Step 4: Simplify right side
    106,320x = 26,751,873,600
  5. Step 5: Solve for x
    x = 26,751,873,600/106,320
  6. Step 6: Final answer
    x = 251,616.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.