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Finding the Third Proportional to 65,173.50 and 142,011

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Solution

The third proportional to 65,173.50 and 142,011 is: 309,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.50 : 142,011 = 142,011 : x
  2. Step 2: Convert to fraction form
    65,173.50/142,011 = 142,011/x
  3. Step 3: Cross multiply
    65,173.50x = 142,011 × 142,011
  4. Step 4: Simplify right side
    65,173.50x = 20,167,124,121
  5. Step 5: Solve for x
    x = 20,167,124,121/65,173.50
  6. Step 6: Final answer
    x = 309,437.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.