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Finding the Third Proportional to 78,582 and 118,104

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Solution

The third proportional to 78,582 and 118,104 is: 177,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,582 : 118,104 = 118,104 : x
  2. Step 2: Convert to fraction form
    78,582/118,104 = 118,104/x
  3. Step 3: Cross multiply
    78,582x = 118,104 × 118,104
  4. Step 4: Simplify right side
    78,582x = 13,948,554,816
  5. Step 5: Solve for x
    x = 13,948,554,816/78,582
  6. Step 6: Final answer
    x = 177,503.18

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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.