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Finding the Third Proportional to 66,284 and 100,392

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Solution

The third proportional to 66,284 and 100,392 is: 152,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284 : 100,392 = 100,392 : x
  2. Step 2: Convert to fraction form
    66,284/100,392 = 100,392/x
  3. Step 3: Cross multiply
    66,284x = 100,392 × 100,392
  4. Step 4: Simplify right side
    66,284x = 10,078,553,664
  5. Step 5: Solve for x
    x = 10,078,553,664/66,284
  6. Step 6: Final answer
    x = 152,051.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.