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Finding the Third Proportional to 109,276 and 168,768

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Solution

The third proportional to 109,276 and 168,768 is: 260,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,276 : 168,768 = 168,768 : x
  2. Step 2: Convert to fraction form
    109,276/168,768 = 168,768/x
  3. Step 3: Cross multiply
    109,276x = 168,768 × 168,768
  4. Step 4: Simplify right side
    109,276x = 28,482,637,824
  5. Step 5: Solve for x
    x = 28,482,637,824/109,276
  6. Step 6: Final answer
    x = 260,648.61

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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.