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Finding the Third Proportional to 108,658 and 172,895.50

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Solution

The third proportional to 108,658 and 172,895.50 is: 275,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,658 : 172,895.50 = 172,895.50 : x
  2. Step 2: Convert to fraction form
    108,658/172,895.50 = 172,895.50/x
  3. Step 3: Cross multiply
    108,658x = 172,895.50 × 172,895.50
  4. Step 4: Simplify right side
    108,658x = 29,892,853,920.25
  5. Step 5: Solve for x
    x = 29,892,853,920.25/108,658
  6. Step 6: Final answer
    x = 275,109.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.