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Finding the Third Proportional to 103,209.75 and 157,482.84

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Solution

The third proportional to 103,209.75 and 157,482.84 is: 240,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,209.75 : 157,482.84 = 157,482.84 : x
  2. Step 2: Convert to fraction form
    103,209.75/157,482.84 = 157,482.84/x
  3. Step 3: Cross multiply
    103,209.75x = 157,482.84 × 157,482.84
  4. Step 4: Simplify right side
    103,209.75x = 24,800,846,075.59
  5. Step 5: Solve for x
    x = 24,800,846,075.59/103,209.75
  6. Step 6: Final answer
    x = 240,295.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.