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Finding the Third Proportional to 61,624 and 97,968

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Solution

The third proportional to 61,624 and 97,968 is: 155,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,624 : 97,968 = 97,968 : x
  2. Step 2: Convert to fraction form
    61,624/97,968 = 97,968/x
  3. Step 3: Cross multiply
    61,624x = 97,968 × 97,968
  4. Step 4: Simplify right side
    61,624x = 9,597,729,024
  5. Step 5: Solve for x
    x = 9,597,729,024/61,624
  6. Step 6: Final answer
    x = 155,746.61

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