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Finding the Third Proportional to 66,284 and 129,224

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Solution

The third proportional to 66,284 and 129,224 is: 251,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284 : 129,224 = 129,224 : x
  2. Step 2: Convert to fraction form
    66,284/129,224 = 129,224/x
  3. Step 3: Cross multiply
    66,284x = 129,224 × 129,224
  4. Step 4: Simplify right side
    66,284x = 16,698,842,176
  5. Step 5: Solve for x
    x = 16,698,842,176/66,284
  6. Step 6: Final answer
    x = 251,928.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.