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Finding the Third Proportional to 78,800.06 and 118,281.09

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Solution

The third proportional to 78,800.06 and 118,281.09 is: 177,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,800.06 : 118,281.09 = 118,281.09 : x
  2. Step 2: Convert to fraction form
    78,800.06/118,281.09 = 118,281.09/x
  3. Step 3: Cross multiply
    78,800.06x = 118,281.09 × 118,281.09
  4. Step 4: Simplify right side
    78,800.06x = 13,990,417,138.70
  5. Step 5: Solve for x
    x = 13,990,417,138.70/78,800.06
  6. Step 6: Final answer
    x = 177,543.22

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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.