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Finding the Third Proportional to 108,498 and 162,641

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Solution

The third proportional to 108,498 and 162,641 is: 243,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,498 : 162,641 = 162,641 : x
  2. Step 2: Convert to fraction form
    108,498/162,641 = 162,641/x
  3. Step 3: Cross multiply
    108,498x = 162,641 × 162,641
  4. Step 4: Simplify right side
    108,498x = 26,452,094,881
  5. Step 5: Solve for x
    x = 26,452,094,881/108,498
  6. Step 6: Final answer
    x = 243,802.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.