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Finding the Third Proportional to 45,602 and 72,851

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Solution

The third proportional to 45,602 and 72,851 is: 116,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,602 : 72,851 = 72,851 : x
  2. Step 2: Convert to fraction form
    45,602/72,851 = 72,851/x
  3. Step 3: Cross multiply
    45,602x = 72,851 × 72,851
  4. Step 4: Simplify right side
    45,602x = 5,307,268,201
  5. Step 5: Solve for x
    x = 5,307,268,201/45,602
  6. Step 6: Final answer
    x = 116,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.