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Finding the Third Proportional to 63,346 and 89,083

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Solution

The third proportional to 63,346 and 89,083 is: 125,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,346 : 89,083 = 89,083 : x
  2. Step 2: Convert to fraction form
    63,346/89,083 = 89,083/x
  3. Step 3: Cross multiply
    63,346x = 89,083 × 89,083
  4. Step 4: Simplify right side
    63,346x = 7,935,780,889
  5. Step 5: Solve for x
    x = 7,935,780,889/63,346
  6. Step 6: Final answer
    x = 125,276.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.