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Finding the Third Proportional to 65,256 and 97,724

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Solution

The third proportional to 65,256 and 97,724 is: 146,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256 : 97,724 = 97,724 : x
  2. Step 2: Convert to fraction form
    65,256/97,724 = 97,724/x
  3. Step 3: Cross multiply
    65,256x = 97,724 × 97,724
  4. Step 4: Simplify right side
    65,256x = 9,549,980,176
  5. Step 5: Solve for x
    x = 9,549,980,176/65,256
  6. Step 6: Final answer
    x = 146,346.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.