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Finding the Third Proportional to 109,246 and 164,871

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Solution

The third proportional to 109,246 and 164,871 is: 248,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,246 : 164,871 = 164,871 : x
  2. Step 2: Convert to fraction form
    109,246/164,871 = 164,871/x
  3. Step 3: Cross multiply
    109,246x = 164,871 × 164,871
  4. Step 4: Simplify right side
    109,246x = 27,182,446,641
  5. Step 5: Solve for x
    x = 27,182,446,641/109,246
  6. Step 6: Final answer
    x = 248,818.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.