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Finding the Third Proportional to 66,054 and 142,636

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Solution

The third proportional to 66,054 and 142,636 is: 308,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,054 : 142,636 = 142,636 : x
  2. Step 2: Convert to fraction form
    66,054/142,636 = 142,636/x
  3. Step 3: Cross multiply
    66,054x = 142,636 × 142,636
  4. Step 4: Simplify right side
    66,054x = 20,345,028,496
  5. Step 5: Solve for x
    x = 20,345,028,496/66,054
  6. Step 6: Final answer
    x = 308,006.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.