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Finding the Third Proportional to 65,925 and 146,088

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Solution

The third proportional to 65,925 and 146,088 is: 323,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925 : 146,088 = 146,088 : x
  2. Step 2: Convert to fraction form
    65,925/146,088 = 146,088/x
  3. Step 3: Cross multiply
    65,925x = 146,088 × 146,088
  4. Step 4: Simplify right side
    65,925x = 21,341,703,744
  5. Step 5: Solve for x
    x = 21,341,703,744/65,925
  6. Step 6: Final answer
    x = 323,727.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.