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Finding the Third Proportional to 64,627 and 142,011

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Solution

The third proportional to 64,627 and 142,011 is: 312,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,627 : 142,011 = 142,011 : x
  2. Step 2: Convert to fraction form
    64,627/142,011 = 142,011/x
  3. Step 3: Cross multiply
    64,627x = 142,011 × 142,011
  4. Step 4: Simplify right side
    64,627x = 20,167,124,121
  5. Step 5: Solve for x
    x = 20,167,124,121/64,627
  6. Step 6: Final answer
    x = 312,054.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.