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Finding the Third Proportional to 65,875.50 and 144,054

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Solution

The third proportional to 65,875.50 and 144,054 is: 315,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,875.50 : 144,054 = 144,054 : x
  2. Step 2: Convert to fraction form
    65,875.50/144,054 = 144,054/x
  3. Step 3: Cross multiply
    65,875.50x = 144,054 × 144,054
  4. Step 4: Simplify right side
    65,875.50x = 20,751,554,916
  5. Step 5: Solve for x
    x = 20,751,554,916/65,875.50
  6. Step 6: Final answer
    x = 315,011.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.