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Finding the Third Proportional to 129,590.25 and 202,850.25

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Solution

The third proportional to 129,590.25 and 202,850.25 is: 317,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,590.25 : 202,850.25 = 202,850.25 : x
  2. Step 2: Convert to fraction form
    129,590.25/202,850.25 = 202,850.25/x
  3. Step 3: Cross multiply
    129,590.25x = 202,850.25 × 202,850.25
  4. Step 4: Simplify right side
    129,590.25x = 41,148,223,925.06
  5. Step 5: Solve for x
    x = 41,148,223,925.06/129,590.25
  6. Step 6: Final answer
    x = 317,525.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.