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Finding the Third Proportional to 118,923.31 and 163,075.94

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Solution

The third proportional to 118,923.31 and 163,075.94 is: 223,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,923.31 : 163,075.94 = 163,075.94 : x
  2. Step 2: Convert to fraction form
    118,923.31/163,075.94 = 163,075.94/x
  3. Step 3: Cross multiply
    118,923.31x = 163,075.94 × 163,075.94
  4. Step 4: Simplify right side
    118,923.31x = 26,593,761,391.50
  5. Step 5: Solve for x
    x = 26,593,761,391.50/118,923.31
  6. Step 6: Final answer
    x = 223,621.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.