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Finding the Third Proportional to 73,270.50 and 114,280.50

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Solution

The third proportional to 73,270.50 and 114,280.50 is: 178,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,270.50 : 114,280.50 = 114,280.50 : x
  2. Step 2: Convert to fraction form
    73,270.50/114,280.50 = 114,280.50/x
  3. Step 3: Cross multiply
    73,270.50x = 114,280.50 × 114,280.50
  4. Step 4: Simplify right side
    73,270.50x = 13,060,032,680.25
  5. Step 5: Solve for x
    x = 13,060,032,680.25/73,270.50
  6. Step 6: Final answer
    x = 178,244.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.