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Finding the Third Proportional to 62,698 and 134,142

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Solution

The third proportional to 62,698 and 134,142 is: 286,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,698 : 134,142 = 134,142 : x
  2. Step 2: Convert to fraction form
    62,698/134,142 = 134,142/x
  3. Step 3: Cross multiply
    62,698x = 134,142 × 134,142
  4. Step 4: Simplify right side
    62,698x = 17,994,076,164
  5. Step 5: Solve for x
    x = 17,994,076,164/62,698
  6. Step 6: Final answer
    x = 286,996.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.