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Finding the Third Proportional to 66,762 and 103,972.50

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Solution

The third proportional to 66,762 and 103,972.50 is: 161,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762 : 103,972.50 = 103,972.50 : x
  2. Step 2: Convert to fraction form
    66,762/103,972.50 = 103,972.50/x
  3. Step 3: Cross multiply
    66,762x = 103,972.50 × 103,972.50
  4. Step 4: Simplify right side
    66,762x = 10,810,280,756.25
  5. Step 5: Solve for x
    x = 10,810,280,756.25/66,762
  6. Step 6: Final answer
    x = 161,922.66

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Why These Related Problems?

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