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Finding the Third Proportional to 70,057.50 and 105,813

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Solution

The third proportional to 70,057.50 and 105,813 is: 159,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,057.50 : 105,813 = 105,813 : x
  2. Step 2: Convert to fraction form
    70,057.50/105,813 = 105,813/x
  3. Step 3: Cross multiply
    70,057.50x = 105,813 × 105,813
  4. Step 4: Simplify right side
    70,057.50x = 11,196,390,969
  5. Step 5: Solve for x
    x = 11,196,390,969/70,057.50
  6. Step 6: Final answer
    x = 159,817.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.