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Finding the Third Proportional to 43,347 and 68,656.50

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Solution

The third proportional to 43,347 and 68,656.50 is: 108,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,347 : 68,656.50 = 68,656.50 : x
  2. Step 2: Convert to fraction form
    43,347/68,656.50 = 68,656.50/x
  3. Step 3: Cross multiply
    43,347x = 68,656.50 × 68,656.50
  4. Step 4: Simplify right side
    43,347x = 4,713,714,992.25
  5. Step 5: Solve for x
    x = 4,713,714,992.25/43,347
  6. Step 6: Final answer
    x = 108,743.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.