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Finding the Third Proportional to 71,091 and 106,813.50

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Solution

The third proportional to 71,091 and 106,813.50 is: 160,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091 : 106,813.50 = 106,813.50 : x
  2. Step 2: Convert to fraction form
    71,091/106,813.50 = 106,813.50/x
  3. Step 3: Cross multiply
    71,091x = 106,813.50 × 106,813.50
  4. Step 4: Simplify right side
    71,091x = 11,409,123,782.25
  5. Step 5: Solve for x
    x = 11,409,123,782.25/71,091
  6. Step 6: Final answer
    x = 160,486.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.