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Finding the Third Proportional to 62,102 and 98,404

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Solution

The third proportional to 62,102 and 98,404 is: 155,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,102 : 98,404 = 98,404 : x
  2. Step 2: Convert to fraction form
    62,102/98,404 = 98,404/x
  3. Step 3: Cross multiply
    62,102x = 98,404 × 98,404
  4. Step 4: Simplify right side
    62,102x = 9,683,347,216
  5. Step 5: Solve for x
    x = 9,683,347,216/62,102
  6. Step 6: Final answer
    x = 155,926.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.