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Finding the Third Proportional to 75,655 and 113,808.50

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Solution

The third proportional to 75,655 and 113,808.50 is: 171,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,655 : 113,808.50 = 113,808.50 : x
  2. Step 2: Convert to fraction form
    75,655/113,808.50 = 113,808.50/x
  3. Step 3: Cross multiply
    75,655x = 113,808.50 × 113,808.50
  4. Step 4: Simplify right side
    75,655x = 12,952,374,672.25
  5. Step 5: Solve for x
    x = 12,952,374,672.25/75,655
  6. Step 6: Final answer
    x = 171,203.15

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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.