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Finding the Third Proportional to 106,737.75 and 237,109.50

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Solution

The third proportional to 106,737.75 and 237,109.50 is: 526,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,737.75 : 237,109.50 = 237,109.50 : x
  2. Step 2: Convert to fraction form
    106,737.75/237,109.50 = 237,109.50/x
  3. Step 3: Cross multiply
    106,737.75x = 237,109.50 × 237,109.50
  4. Step 4: Simplify right side
    106,737.75x = 56,220,914,990.25
  5. Step 5: Solve for x
    x = 56,220,914,990.25/106,737.75
  6. Step 6: Final answer
    x = 526,720.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.