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Finding the Third Proportional to 108,507 and 162,651

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Solution

The third proportional to 108,507 and 162,651 is: 243,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,507 : 162,651 = 162,651 : x
  2. Step 2: Convert to fraction form
    108,507/162,651 = 162,651/x
  3. Step 3: Cross multiply
    108,507x = 162,651 × 162,651
  4. Step 4: Simplify right side
    108,507x = 26,455,347,801
  5. Step 5: Solve for x
    x = 26,455,347,801/108,507
  6. Step 6: Final answer
    x = 243,812.36

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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.