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Finding the Third Proportional to 66,113.81 and 99,170.06

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Solution

The third proportional to 66,113.81 and 99,170.06 is: 148,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,113.81 : 99,170.06 = 99,170.06 : x
  2. Step 2: Convert to fraction form
    66,113.81/99,170.06 = 99,170.06/x
  3. Step 3: Cross multiply
    66,113.81x = 99,170.06 × 99,170.06
  4. Step 4: Simplify right side
    66,113.81x = 9,834,701,296.25
  5. Step 5: Solve for x
    x = 9,834,701,296.25/66,113.81
  6. Step 6: Final answer
    x = 148,754.11

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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.