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Finding the Third Proportional to 35,100 and 65,130.75

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Solution

The third proportional to 35,100 and 65,130.75 is: 120,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,100 : 65,130.75 = 65,130.75 : x
  2. Step 2: Convert to fraction form
    35,100/65,130.75 = 65,130.75/x
  3. Step 3: Cross multiply
    35,100x = 65,130.75 × 65,130.75
  4. Step 4: Simplify right side
    35,100x = 4,242,014,595.56
  5. Step 5: Solve for x
    x = 4,242,014,595.56/35,100
  6. Step 6: Final answer
    x = 120,855.12

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.