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Finding the Third Proportional to 84,024 and 133,112.25

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Solution

The third proportional to 84,024 and 133,112.25 is: 210,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 133,112.25 = 133,112.25 : x
  2. Step 2: Convert to fraction form
    84,024/133,112.25 = 133,112.25/x
  3. Step 3: Cross multiply
    84,024x = 133,112.25 × 133,112.25
  4. Step 4: Simplify right side
    84,024x = 17,718,871,100.06
  5. Step 5: Solve for x
    x = 17,718,871,100.06/84,024
  6. Step 6: Final answer
    x = 210,878.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.