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Finding the Third Proportional to 108,308 and 162,462

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Solution

The third proportional to 108,308 and 162,462 is: 243,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,308 : 162,462 = 162,462 : x
  2. Step 2: Convert to fraction form
    108,308/162,462 = 162,462/x
  3. Step 3: Cross multiply
    108,308x = 162,462 × 162,462
  4. Step 4: Simplify right side
    108,308x = 26,393,901,444
  5. Step 5: Solve for x
    x = 26,393,901,444/108,308
  6. Step 6: Final answer
    x = 243,693

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