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Finding the Third Proportional to 82,968 and 125,046

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Solution

The third proportional to 82,968 and 125,046 is: 188,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,968 : 125,046 = 125,046 : x
  2. Step 2: Convert to fraction form
    82,968/125,046 = 125,046/x
  3. Step 3: Cross multiply
    82,968x = 125,046 × 125,046
  4. Step 4: Simplify right side
    82,968x = 15,636,502,116
  5. Step 5: Solve for x
    x = 15,636,502,116/82,968
  6. Step 6: Final answer
    x = 188,464.25

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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.