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Finding the Third Proportional to 108,502 and 162,173

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Solution

The third proportional to 108,502 and 162,173 is: 242,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,502 : 162,173 = 162,173 : x
  2. Step 2: Convert to fraction form
    108,502/162,173 = 162,173/x
  3. Step 3: Cross multiply
    108,502x = 162,173 × 162,173
  4. Step 4: Simplify right side
    108,502x = 26,300,081,929
  5. Step 5: Solve for x
    x = 26,300,081,929/108,502
  6. Step 6: Final answer
    x = 242,392.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.