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Finding the Third Proportional to 80,467 and 118,237.50

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Solution

The third proportional to 80,467 and 118,237.50 is: 173,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,467 : 118,237.50 = 118,237.50 : x
  2. Step 2: Convert to fraction form
    80,467/118,237.50 = 118,237.50/x
  3. Step 3: Cross multiply
    80,467x = 118,237.50 × 118,237.50
  4. Step 4: Simplify right side
    80,467x = 13,980,106,406.25
  5. Step 5: Solve for x
    x = 13,980,106,406.25/80,467
  6. Step 6: Final answer
    x = 173,737.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.