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Finding the Third Proportional to 137,569.75 and 180,903.75

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Solution

The third proportional to 137,569.75 and 180,903.75 is: 237,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.75 : 180,903.75 = 180,903.75 : x
  2. Step 2: Convert to fraction form
    137,569.75/180,903.75 = 180,903.75/x
  3. Step 3: Cross multiply
    137,569.75x = 180,903.75 × 180,903.75
  4. Step 4: Simplify right side
    137,569.75x = 32,726,166,764.06
  5. Step 5: Solve for x
    x = 32,726,166,764.06/137,569.75
  6. Step 6: Final answer
    x = 237,887.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.