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Finding the Third Proportional to 66,153 and 144,186

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Solution

The third proportional to 66,153 and 144,186 is: 314,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,153 : 144,186 = 144,186 : x
  2. Step 2: Convert to fraction form
    66,153/144,186 = 144,186/x
  3. Step 3: Cross multiply
    66,153x = 144,186 × 144,186
  4. Step 4: Simplify right side
    66,153x = 20,789,602,596
  5. Step 5: Solve for x
    x = 20,789,602,596/66,153
  6. Step 6: Final answer
    x = 314,265.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.