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Finding the Third Proportional to 69,320 and 99,131

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Solution

The third proportional to 69,320 and 99,131 is: 141,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,320 : 99,131 = 99,131 : x
  2. Step 2: Convert to fraction form
    69,320/99,131 = 99,131/x
  3. Step 3: Cross multiply
    69,320x = 99,131 × 99,131
  4. Step 4: Simplify right side
    69,320x = 9,826,955,161
  5. Step 5: Solve for x
    x = 9,826,955,161/69,320
  6. Step 6: Final answer
    x = 141,762.19

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.