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Finding the Third Proportional to 51,392 and 77,090

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Solution

The third proportional to 51,392 and 77,090 is: 115,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392 : 77,090 = 77,090 : x
  2. Step 2: Convert to fraction form
    51,392/77,090 = 77,090/x
  3. Step 3: Cross multiply
    51,392x = 77,090 × 77,090
  4. Step 4: Simplify right side
    51,392x = 5,942,868,100
  5. Step 5: Solve for x
    x = 5,942,868,100/51,392
  6. Step 6: Final answer
    x = 115,638.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.