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Finding the Third Proportional to 91,084 and 127,370.50

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Solution

The third proportional to 91,084 and 127,370.50 is: 178,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,084 : 127,370.50 = 127,370.50 : x
  2. Step 2: Convert to fraction form
    91,084/127,370.50 = 127,370.50/x
  3. Step 3: Cross multiply
    91,084x = 127,370.50 × 127,370.50
  4. Step 4: Simplify right side
    91,084x = 16,223,244,270.25
  5. Step 5: Solve for x
    x = 16,223,244,270.25/91,084
  6. Step 6: Final answer
    x = 178,113.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.