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Finding the Third Proportional to 42,390 and 64,131

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Solution

The third proportional to 42,390 and 64,131 is: 97,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,390 : 64,131 = 64,131 : x
  2. Step 2: Convert to fraction form
    42,390/64,131 = 64,131/x
  3. Step 3: Cross multiply
    42,390x = 64,131 × 64,131
  4. Step 4: Simplify right side
    42,390x = 4,112,785,161
  5. Step 5: Solve for x
    x = 4,112,785,161/42,390
  6. Step 6: Final answer
    x = 97,022.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.