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Finding the Third Proportional to 106,226 and 163,053

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Solution

The third proportional to 106,226 and 163,053 is: 250,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,226 : 163,053 = 163,053 : x
  2. Step 2: Convert to fraction form
    106,226/163,053 = 163,053/x
  3. Step 3: Cross multiply
    106,226x = 163,053 × 163,053
  4. Step 4: Simplify right side
    106,226x = 26,586,280,809
  5. Step 5: Solve for x
    x = 26,586,280,809/106,226
  6. Step 6: Final answer
    x = 250,280.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.