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Finding the Third Proportional to 104,762.50 and 162,182.75

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Solution

The third proportional to 104,762.50 and 162,182.75 is: 251,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,762.50 : 162,182.75 = 162,182.75 : x
  2. Step 2: Convert to fraction form
    104,762.50/162,182.75 = 162,182.75/x
  3. Step 3: Cross multiply
    104,762.50x = 162,182.75 × 162,182.75
  4. Step 4: Simplify right side
    104,762.50x = 26,303,244,397.56
  5. Step 5: Solve for x
    x = 26,303,244,397.56/104,762.50
  6. Step 6: Final answer
    x = 251,075.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.