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Finding the Third Proportional to 40,310 and 94,129

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Solution

The third proportional to 40,310 and 94,129 is: 219,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,310 : 94,129 = 94,129 : x
  2. Step 2: Convert to fraction form
    40,310/94,129 = 94,129/x
  3. Step 3: Cross multiply
    40,310x = 94,129 × 94,129
  4. Step 4: Simplify right side
    40,310x = 8,860,268,641
  5. Step 5: Solve for x
    x = 8,860,268,641/40,310
  6. Step 6: Final answer
    x = 219,803.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.