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Finding the Third Proportional to 66,906 and 100,004.63

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Solution

The third proportional to 66,906 and 100,004.63 is: 149,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906 : 100,004.63 = 100,004.63 : x
  2. Step 2: Convert to fraction form
    66,906/100,004.63 = 100,004.63/x
  3. Step 3: Cross multiply
    66,906x = 100,004.63 × 100,004.63
  4. Step 4: Simplify right side
    66,906x = 10,000,925,021.39
  5. Step 5: Solve for x
    x = 10,000,925,021.39/66,906
  6. Step 6: Final answer
    x = 149,477.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.