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Finding the Third Proportional to 65,725 and 102,968

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Solution

The third proportional to 65,725 and 102,968 is: 161,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,725 : 102,968 = 102,968 : x
  2. Step 2: Convert to fraction form
    65,725/102,968 = 102,968/x
  3. Step 3: Cross multiply
    65,725x = 102,968 × 102,968
  4. Step 4: Simplify right side
    65,725x = 10,602,409,024
  5. Step 5: Solve for x
    x = 10,602,409,024/65,725
  6. Step 6: Final answer
    x = 161,314.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.