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Finding the Third Proportional to 98,751 and 141,114

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Solution

The third proportional to 98,751 and 141,114 is: 201,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751 : 141,114 = 141,114 : x
  2. Step 2: Convert to fraction form
    98,751/141,114 = 141,114/x
  3. Step 3: Cross multiply
    98,751x = 141,114 × 141,114
  4. Step 4: Simplify right side
    98,751x = 19,913,160,996
  5. Step 5: Solve for x
    x = 19,913,160,996/98,751
  6. Step 6: Final answer
    x = 201,650.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.