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Finding the Third Proportional to 61,958 and 98,476

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Solution

The third proportional to 61,958 and 98,476 is: 156,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,958 : 98,476 = 98,476 : x
  2. Step 2: Convert to fraction form
    61,958/98,476 = 98,476/x
  3. Step 3: Cross multiply
    61,958x = 98,476 × 98,476
  4. Step 4: Simplify right side
    61,958x = 9,697,522,576
  5. Step 5: Solve for x
    x = 9,697,522,576/61,958
  6. Step 6: Final answer
    x = 156,517.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.