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Finding the Third Proportional to 58,701 and 126,973

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Solution

The third proportional to 58,701 and 126,973 is: 274,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,701 : 126,973 = 126,973 : x
  2. Step 2: Convert to fraction form
    58,701/126,973 = 126,973/x
  3. Step 3: Cross multiply
    58,701x = 126,973 × 126,973
  4. Step 4: Simplify right side
    58,701x = 16,122,142,729
  5. Step 5: Solve for x
    x = 16,122,142,729/58,701
  6. Step 6: Final answer
    x = 274,648.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.