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Finding the Third Proportional to 66,522.50 and 136,152.50

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Solution

The third proportional to 66,522.50 and 136,152.50 is: 278,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,522.50 : 136,152.50 = 136,152.50 : x
  2. Step 2: Convert to fraction form
    66,522.50/136,152.50 = 136,152.50/x
  3. Step 3: Cross multiply
    66,522.50x = 136,152.50 × 136,152.50
  4. Step 4: Simplify right side
    66,522.50x = 18,537,503,256.25
  5. Step 5: Solve for x
    x = 18,537,503,256.25/66,522.50
  6. Step 6: Final answer
    x = 278,665.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.