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Finding the Third Proportional to 136,047 and 214,503

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Solution

The third proportional to 136,047 and 214,503 is: 338,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,047 : 214,503 = 214,503 : x
  2. Step 2: Convert to fraction form
    136,047/214,503 = 214,503/x
  3. Step 3: Cross multiply
    136,047x = 214,503 × 214,503
  4. Step 4: Simplify right side
    136,047x = 46,011,537,009
  5. Step 5: Solve for x
    x = 46,011,537,009/136,047
  6. Step 6: Final answer
    x = 338,203.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.