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Finding the Third Proportional to 71,007.75 and 153,085.50

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Solution

The third proportional to 71,007.75 and 153,085.50 is: 330,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,007.75 : 153,085.50 = 153,085.50 : x
  2. Step 2: Convert to fraction form
    71,007.75/153,085.50 = 153,085.50/x
  3. Step 3: Cross multiply
    71,007.75x = 153,085.50 × 153,085.50
  4. Step 4: Simplify right side
    71,007.75x = 23,435,170,310.25
  5. Step 5: Solve for x
    x = 23,435,170,310.25/71,007.75
  6. Step 6: Final answer
    x = 330,036.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.