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Finding the Third Proportional to 136,922.06 and 200,085.19

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Solution

The third proportional to 136,922.06 and 200,085.19 is: 292,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,922.06 : 200,085.19 = 200,085.19 : x
  2. Step 2: Convert to fraction form
    136,922.06/200,085.19 = 200,085.19/x
  3. Step 3: Cross multiply
    136,922.06x = 200,085.19 × 200,085.19
  4. Step 4: Simplify right side
    136,922.06x = 40,034,082,256.91
  5. Step 5: Solve for x
    x = 40,034,082,256.91/136,922.06
  6. Step 6: Final answer
    x = 292,385.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.