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Finding the Third Proportional to 43,146 and 94,602

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Solution

The third proportional to 43,146 and 94,602 is: 207,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,146 : 94,602 = 94,602 : x
  2. Step 2: Convert to fraction form
    43,146/94,602 = 94,602/x
  3. Step 3: Cross multiply
    43,146x = 94,602 × 94,602
  4. Step 4: Simplify right side
    43,146x = 8,949,538,404
  5. Step 5: Solve for x
    x = 8,949,538,404/43,146
  6. Step 6: Final answer
    x = 207,424.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.