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Finding the Third Proportional to 61,817 and 134,959

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Solution

The third proportional to 61,817 and 134,959 is: 294,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,817 : 134,959 = 134,959 : x
  2. Step 2: Convert to fraction form
    61,817/134,959 = 134,959/x
  3. Step 3: Cross multiply
    61,817x = 134,959 × 134,959
  4. Step 4: Simplify right side
    61,817x = 18,213,931,681
  5. Step 5: Solve for x
    x = 18,213,931,681/61,817
  6. Step 6: Final answer
    x = 294,642.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.