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Finding the Third Proportional to 73,512 and 103,522.50

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Solution

The third proportional to 73,512 and 103,522.50 is: 145,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,512 : 103,522.50 = 103,522.50 : x
  2. Step 2: Convert to fraction form
    73,512/103,522.50 = 103,522.50/x
  3. Step 3: Cross multiply
    73,512x = 103,522.50 × 103,522.50
  4. Step 4: Simplify right side
    73,512x = 10,716,908,006.25
  5. Step 5: Solve for x
    x = 10,716,908,006.25/73,512
  6. Step 6: Final answer
    x = 145,784.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.