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Finding the Third Proportional to 78,495.75 and 163,633.50

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Solution

The third proportional to 78,495.75 and 163,633.50 is: 341,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,495.75 : 163,633.50 = 163,633.50 : x
  2. Step 2: Convert to fraction form
    78,495.75/163,633.50 = 163,633.50/x
  3. Step 3: Cross multiply
    78,495.75x = 163,633.50 × 163,633.50
  4. Step 4: Simplify right side
    78,495.75x = 26,775,922,322.25
  5. Step 5: Solve for x
    x = 26,775,922,322.25/78,495.75
  6. Step 6: Final answer
    x = 341,113.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.