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Finding the Third Proportional to 66,828 and 88,334.50

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Solution

The third proportional to 66,828 and 88,334.50 is: 116,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,828 : 88,334.50 = 88,334.50 : x
  2. Step 2: Convert to fraction form
    66,828/88,334.50 = 88,334.50/x
  3. Step 3: Cross multiply
    66,828x = 88,334.50 × 88,334.50
  4. Step 4: Simplify right side
    66,828x = 7,802,983,890.25
  5. Step 5: Solve for x
    x = 7,802,983,890.25/66,828
  6. Step 6: Final answer
    x = 116,762.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.