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Finding the Third Proportional to 35,360 and 78,080

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Solution

The third proportional to 35,360 and 78,080 is: 172,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,360 : 78,080 = 78,080 : x
  2. Step 2: Convert to fraction form
    35,360/78,080 = 78,080/x
  3. Step 3: Cross multiply
    35,360x = 78,080 × 78,080
  4. Step 4: Simplify right side
    35,360x = 6,096,486,400
  5. Step 5: Solve for x
    x = 6,096,486,400/35,360
  6. Step 6: Final answer
    x = 172,411.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.