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Finding the Third Proportional to 45,122 and 63,083

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Solution

The third proportional to 45,122 and 63,083 is: 88,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,122 : 63,083 = 63,083 : x
  2. Step 2: Convert to fraction form
    45,122/63,083 = 63,083/x
  3. Step 3: Cross multiply
    45,122x = 63,083 × 63,083
  4. Step 4: Simplify right side
    45,122x = 3,979,464,889
  5. Step 5: Solve for x
    x = 3,979,464,889/45,122
  6. Step 6: Final answer
    x = 88,193.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.