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Finding the Third Proportional to 70,927.50 and 107,865

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Solution

The third proportional to 70,927.50 and 107,865 is: 164,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,927.50 : 107,865 = 107,865 : x
  2. Step 2: Convert to fraction form
    70,927.50/107,865 = 107,865/x
  3. Step 3: Cross multiply
    70,927.50x = 107,865 × 107,865
  4. Step 4: Simplify right side
    70,927.50x = 11,634,858,225
  5. Step 5: Solve for x
    x = 11,634,858,225/70,927.50
  6. Step 6: Final answer
    x = 164,038.75

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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.