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Finding the Third Proportional to 69,382 and 99,145

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Solution

The third proportional to 69,382 and 99,145 is: 141,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382 : 99,145 = 99,145 : x
  2. Step 2: Convert to fraction form
    69,382/99,145 = 99,145/x
  3. Step 3: Cross multiply
    69,382x = 99,145 × 99,145
  4. Step 4: Simplify right side
    69,382x = 9,829,731,025
  5. Step 5: Solve for x
    x = 9,829,731,025/69,382
  6. Step 6: Final answer
    x = 141,675.52

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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.