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Finding the Third Proportional to 137,155 and 213,752

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Solution

The third proportional to 137,155 and 213,752 is: 333,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,155 : 213,752 = 213,752 : x
  2. Step 2: Convert to fraction form
    137,155/213,752 = 213,752/x
  3. Step 3: Cross multiply
    137,155x = 213,752 × 213,752
  4. Step 4: Simplify right side
    137,155x = 45,689,917,504
  5. Step 5: Solve for x
    x = 45,689,917,504/137,155
  6. Step 6: Final answer
    x = 333,126.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.