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Finding the Third Proportional to 75,775.50 and 117,652.50

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Solution

The third proportional to 75,775.50 and 117,652.50 is: 182,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,775.50 : 117,652.50 = 117,652.50 : x
  2. Step 2: Convert to fraction form
    75,775.50/117,652.50 = 117,652.50/x
  3. Step 3: Cross multiply
    75,775.50x = 117,652.50 × 117,652.50
  4. Step 4: Simplify right side
    75,775.50x = 13,842,110,756.25
  5. Step 5: Solve for x
    x = 13,842,110,756.25/75,775.50
  6. Step 6: Final answer
    x = 182,672.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.