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Finding the Third Proportional to 108,498 and 162,168

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Solution

The third proportional to 108,498 and 162,168 is: 242,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,498 : 162,168 = 162,168 : x
  2. Step 2: Convert to fraction form
    108,498/162,168 = 162,168/x
  3. Step 3: Cross multiply
    108,498x = 162,168 × 162,168
  4. Step 4: Simplify right side
    108,498x = 26,298,460,224
  5. Step 5: Solve for x
    x = 26,298,460,224/108,498
  6. Step 6: Final answer
    x = 242,386.59

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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.