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Finding the Third Proportional to 62,922 and 139,830

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Solution

The third proportional to 62,922 and 139,830 is: 310,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,922 : 139,830 = 139,830 : x
  2. Step 2: Convert to fraction form
    62,922/139,830 = 139,830/x
  3. Step 3: Cross multiply
    62,922x = 139,830 × 139,830
  4. Step 4: Simplify right side
    62,922x = 19,552,428,900
  5. Step 5: Solve for x
    x = 19,552,428,900/62,922
  6. Step 6: Final answer
    x = 310,740.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.