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Finding the Third Proportional to 45,157 and 67,083

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Solution

The third proportional to 45,157 and 67,083 is: 99,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,157 : 67,083 = 67,083 : x
  2. Step 2: Convert to fraction form
    45,157/67,083 = 67,083/x
  3. Step 3: Cross multiply
    45,157x = 67,083 × 67,083
  4. Step 4: Simplify right side
    45,157x = 4,500,128,889
  5. Step 5: Solve for x
    x = 4,500,128,889/45,157
  6. Step 6: Final answer
    x = 99,655.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.