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Finding the Third Proportional to 112,854 and 171,499

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Solution

The third proportional to 112,854 and 171,499 is: 260,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,854 : 171,499 = 171,499 : x
  2. Step 2: Convert to fraction form
    112,854/171,499 = 171,499/x
  3. Step 3: Cross multiply
    112,854x = 171,499 × 171,499
  4. Step 4: Simplify right side
    112,854x = 29,411,907,001
  5. Step 5: Solve for x
    x = 29,411,907,001/112,854
  6. Step 6: Final answer
    x = 260,619.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.