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Finding the Third Proportional to 61,985 and 134,271

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Solution

The third proportional to 61,985 and 134,271 is: 290,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,985 : 134,271 = 134,271 : x
  2. Step 2: Convert to fraction form
    61,985/134,271 = 134,271/x
  3. Step 3: Cross multiply
    61,985x = 134,271 × 134,271
  4. Step 4: Simplify right side
    61,985x = 18,028,701,441
  5. Step 5: Solve for x
    x = 18,028,701,441/61,985
  6. Step 6: Final answer
    x = 290,855.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.