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Finding the Third Proportional to 118,923.19 and 163,075.78

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Solution

The third proportional to 118,923.19 and 163,075.78 is: 223,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,923.19 : 163,075.78 = 163,075.78 : x
  2. Step 2: Convert to fraction form
    118,923.19/163,075.78 = 163,075.78/x
  3. Step 3: Cross multiply
    118,923.19x = 163,075.78 × 163,075.78
  4. Step 4: Simplify right side
    118,923.19x = 26,593,710,430.30
  5. Step 5: Solve for x
    x = 26,593,710,430.30/118,923.19
  6. Step 6: Final answer
    x = 223,620.90

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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.