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Finding the Third Proportional to 75,165.75 and 163,156.50

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Solution

The third proportional to 75,165.75 and 163,156.50 is: 354,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165.75 : 163,156.50 = 163,156.50 : x
  2. Step 2: Convert to fraction form
    75,165.75/163,156.50 = 163,156.50/x
  3. Step 3: Cross multiply
    75,165.75x = 163,156.50 × 163,156.50
  4. Step 4: Simplify right side
    75,165.75x = 26,620,043,492.25
  5. Step 5: Solve for x
    x = 26,620,043,492.25/75,165.75
  6. Step 6: Final answer
    x = 354,151.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.