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Finding the Third Proportional to 76,360 and 118,902

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Solution

The third proportional to 76,360 and 118,902 is: 185,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360 : 118,902 = 118,902 : x
  2. Step 2: Convert to fraction form
    76,360/118,902 = 118,902/x
  3. Step 3: Cross multiply
    76,360x = 118,902 × 118,902
  4. Step 4: Simplify right side
    76,360x = 14,137,685,604
  5. Step 5: Solve for x
    x = 14,137,685,604/76,360
  6. Step 6: Final answer
    x = 185,145.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.