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Finding the Third Proportional to 78,826 and 118,319

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Solution

The third proportional to 78,826 and 118,319 is: 177,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826 : 118,319 = 118,319 : x
  2. Step 2: Convert to fraction form
    78,826/118,319 = 118,319/x
  3. Step 3: Cross multiply
    78,826x = 118,319 × 118,319
  4. Step 4: Simplify right side
    78,826x = 13,999,385,761
  5. Step 5: Solve for x
    x = 13,999,385,761/78,826
  6. Step 6: Final answer
    x = 177,598.58

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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.