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Finding the Third Proportional to 139,459 and 210,497

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Solution

The third proportional to 139,459 and 210,497 is: 317,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,459 : 210,497 = 210,497 : x
  2. Step 2: Convert to fraction form
    139,459/210,497 = 210,497/x
  3. Step 3: Cross multiply
    139,459x = 210,497 × 210,497
  4. Step 4: Simplify right side
    139,459x = 44,308,987,009
  5. Step 5: Solve for x
    x = 44,308,987,009/139,459
  6. Step 6: Final answer
    x = 317,720.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.