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Finding the Third Proportional to 78,836 and 93,416

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Solution

The third proportional to 78,836 and 93,416 is: 110,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,836 : 93,416 = 93,416 : x
  2. Step 2: Convert to fraction form
    78,836/93,416 = 93,416/x
  3. Step 3: Cross multiply
    78,836x = 93,416 × 93,416
  4. Step 4: Simplify right side
    78,836x = 8,726,549,056
  5. Step 5: Solve for x
    x = 8,726,549,056/78,836
  6. Step 6: Final answer
    x = 110,692.44

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.