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Finding the Third Proportional to 118,907.50 and 163,051

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Solution

The third proportional to 118,907.50 and 163,051 is: 223,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,907.50 : 163,051 = 163,051 : x
  2. Step 2: Convert to fraction form
    118,907.50/163,051 = 163,051/x
  3. Step 3: Cross multiply
    118,907.50x = 163,051 × 163,051
  4. Step 4: Simplify right side
    118,907.50x = 26,585,628,601
  5. Step 5: Solve for x
    x = 26,585,628,601/118,907.50
  6. Step 6: Final answer
    x = 223,582.44

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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.