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Finding the Third Proportional to 66,364 and 99,301

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Solution

The third proportional to 66,364 and 99,301 is: 148,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,364 : 99,301 = 99,301 : x
  2. Step 2: Convert to fraction form
    66,364/99,301 = 99,301/x
  3. Step 3: Cross multiply
    66,364x = 99,301 × 99,301
  4. Step 4: Simplify right side
    66,364x = 9,860,688,601
  5. Step 5: Solve for x
    x = 9,860,688,601/66,364
  6. Step 6: Final answer
    x = 148,584.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.