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Finding the Third Proportional to 53,428.50 and 83,059.50

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Solution

The third proportional to 53,428.50 and 83,059.50 is: 129,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428.50 : 83,059.50 = 83,059.50 : x
  2. Step 2: Convert to fraction form
    53,428.50/83,059.50 = 83,059.50/x
  3. Step 3: Cross multiply
    53,428.50x = 83,059.50 × 83,059.50
  4. Step 4: Simplify right side
    53,428.50x = 6,898,880,540.25
  5. Step 5: Solve for x
    x = 6,898,880,540.25/53,428.50
  6. Step 6: Final answer
    x = 129,123.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.