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Finding the Third Proportional to 79,383 and 112,837.50

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Solution

The third proportional to 79,383 and 112,837.50 is: 160,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,383 : 112,837.50 = 112,837.50 : x
  2. Step 2: Convert to fraction form
    79,383/112,837.50 = 112,837.50/x
  3. Step 3: Cross multiply
    79,383x = 112,837.50 × 112,837.50
  4. Step 4: Simplify right side
    79,383x = 12,732,301,406.25
  5. Step 5: Solve for x
    x = 12,732,301,406.25/79,383
  6. Step 6: Final answer
    x = 160,390.78

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.