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Finding the Third Proportional to 34,054 and 72,203.50

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Solution

The third proportional to 34,054 and 72,203.50 is: 153,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054 : 72,203.50 = 72,203.50 : x
  2. Step 2: Convert to fraction form
    34,054/72,203.50 = 72,203.50/x
  3. Step 3: Cross multiply
    34,054x = 72,203.50 × 72,203.50
  4. Step 4: Simplify right side
    34,054x = 5,213,345,412.25
  5. Step 5: Solve for x
    x = 5,213,345,412.25/34,054
  6. Step 6: Final answer
    x = 153,090.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.