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Finding the Third Proportional to 135,004 and 174,211

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Solution

The third proportional to 135,004 and 174,211 is: 224,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,004 : 174,211 = 174,211 : x
  2. Step 2: Convert to fraction form
    135,004/174,211 = 174,211/x
  3. Step 3: Cross multiply
    135,004x = 174,211 × 174,211
  4. Step 4: Simplify right side
    135,004x = 30,349,472,521
  5. Step 5: Solve for x
    x = 30,349,472,521/135,004
  6. Step 6: Final answer
    x = 224,804.25

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.