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Finding the Third Proportional to 54,688.50 and 89,302.50

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Solution

The third proportional to 54,688.50 and 89,302.50 is: 145,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,688.50 : 89,302.50 = 89,302.50 : x
  2. Step 2: Convert to fraction form
    54,688.50/89,302.50 = 89,302.50/x
  3. Step 3: Cross multiply
    54,688.50x = 89,302.50 × 89,302.50
  4. Step 4: Simplify right side
    54,688.50x = 7,974,936,506.25
  5. Step 5: Solve for x
    x = 7,974,936,506.25/54,688.50
  6. Step 6: Final answer
    x = 145,824.74

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.