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Finding the Third Proportional to 89,072 and 142,032

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Solution

The third proportional to 89,072 and 142,032 is: 226,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,072 : 142,032 = 142,032 : x
  2. Step 2: Convert to fraction form
    89,072/142,032 = 142,032/x
  3. Step 3: Cross multiply
    89,072x = 142,032 × 142,032
  4. Step 4: Simplify right side
    89,072x = 20,173,089,024
  5. Step 5: Solve for x
    x = 20,173,089,024/89,072
  6. Step 6: Final answer
    x = 226,480.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.