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Finding the Third Proportional to 89,850 and 140,937

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Solution

The third proportional to 89,850 and 140,937 is: 221,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,850 : 140,937 = 140,937 : x
  2. Step 2: Convert to fraction form
    89,850/140,937 = 140,937/x
  3. Step 3: Cross multiply
    89,850x = 140,937 × 140,937
  4. Step 4: Simplify right side
    89,850x = 19,863,237,969
  5. Step 5: Solve for x
    x = 19,863,237,969/89,850
  6. Step 6: Final answer
    x = 221,071.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.