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Finding the Third Proportional to 100,602 and 136,140.75

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Solution

The third proportional to 100,602 and 136,140.75 is: 184,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602 : 136,140.75 = 136,140.75 : x
  2. Step 2: Convert to fraction form
    100,602/136,140.75 = 136,140.75/x
  3. Step 3: Cross multiply
    100,602x = 136,140.75 × 136,140.75
  4. Step 4: Simplify right side
    100,602x = 18,534,303,810.56
  5. Step 5: Solve for x
    x = 18,534,303,810.56/100,602
  6. Step 6: Final answer
    x = 184,233.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.