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Finding the Third Proportional to 62,961 and 98,271

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Solution

The third proportional to 62,961 and 98,271 is: 153,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,961 : 98,271 = 98,271 : x
  2. Step 2: Convert to fraction form
    62,961/98,271 = 98,271/x
  3. Step 3: Cross multiply
    62,961x = 98,271 × 98,271
  4. Step 4: Simplify right side
    62,961x = 9,657,189,441
  5. Step 5: Solve for x
    x = 9,657,189,441/62,961
  6. Step 6: Final answer
    x = 153,383.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.