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Finding the Third Proportional to 86,412 and 123,570

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Solution

The third proportional to 86,412 and 123,570 is: 176,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,412 : 123,570 = 123,570 : x
  2. Step 2: Convert to fraction form
    86,412/123,570 = 123,570/x
  3. Step 3: Cross multiply
    86,412x = 123,570 × 123,570
  4. Step 4: Simplify right side
    86,412x = 15,269,544,900
  5. Step 5: Solve for x
    x = 15,269,544,900/86,412
  6. Step 6: Final answer
    x = 176,706.30

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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.