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Finding the Third Proportional to 105,268.50 and 136,575

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Solution

The third proportional to 105,268.50 and 136,575 is: 177,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,268.50 : 136,575 = 136,575 : x
  2. Step 2: Convert to fraction form
    105,268.50/136,575 = 136,575/x
  3. Step 3: Cross multiply
    105,268.50x = 136,575 × 136,575
  4. Step 4: Simplify right side
    105,268.50x = 18,652,730,625
  5. Step 5: Solve for x
    x = 18,652,730,625/105,268.50
  6. Step 6: Final answer
    x = 177,191.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.