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Finding the Third Proportional to 56,709 and 84,511.50

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Solution

The third proportional to 56,709 and 84,511.50 is: 125,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709 : 84,511.50 = 84,511.50 : x
  2. Step 2: Convert to fraction form
    56,709/84,511.50 = 84,511.50/x
  3. Step 3: Cross multiply
    56,709x = 84,511.50 × 84,511.50
  4. Step 4: Simplify right side
    56,709x = 7,142,193,632.25
  5. Step 5: Solve for x
    x = 7,142,193,632.25/56,709
  6. Step 6: Final answer
    x = 125,944.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.