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Finding the Third Proportional to 108,548 and 162,614

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Solution

The third proportional to 108,548 and 162,614 is: 243,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,548 : 162,614 = 162,614 : x
  2. Step 2: Convert to fraction form
    108,548/162,614 = 162,614/x
  3. Step 3: Cross multiply
    108,548x = 162,614 × 162,614
  4. Step 4: Simplify right side
    108,548x = 26,443,312,996
  5. Step 5: Solve for x
    x = 26,443,312,996/108,548
  6. Step 6: Final answer
    x = 243,609.40

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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.