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Finding the Third Proportional to 137,931.75 and 210,907.13

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Solution

The third proportional to 137,931.75 and 210,907.13 is: 322,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,931.75 : 210,907.13 = 210,907.13 : x
  2. Step 2: Convert to fraction form
    137,931.75/210,907.13 = 210,907.13/x
  3. Step 3: Cross multiply
    137,931.75x = 210,907.13 × 210,907.13
  4. Step 4: Simplify right side
    137,931.75x = 44,481,815,375.77
  5. Step 5: Solve for x
    x = 44,481,815,375.77/137,931.75
  6. Step 6: Final answer
    x = 322,491.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.