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Finding the Third Proportional to 58,596.75 and 126,090

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Solution

The third proportional to 58,596.75 and 126,090 is: 271,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,596.75 : 126,090 = 126,090 : x
  2. Step 2: Convert to fraction form
    58,596.75/126,090 = 126,090/x
  3. Step 3: Cross multiply
    58,596.75x = 126,090 × 126,090
  4. Step 4: Simplify right side
    58,596.75x = 15,898,688,100
  5. Step 5: Solve for x
    x = 15,898,688,100/58,596.75
  6. Step 6: Final answer
    x = 271,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.