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Finding the Third Proportional to 35,670 and 78,108

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Solution

The third proportional to 35,670 and 78,108 is: 171,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670 : 78,108 = 78,108 : x
  2. Step 2: Convert to fraction form
    35,670/78,108 = 78,108/x
  3. Step 3: Cross multiply
    35,670x = 78,108 × 78,108
  4. Step 4: Simplify right side
    35,670x = 6,100,859,664
  5. Step 5: Solve for x
    x = 6,100,859,664/35,670
  6. Step 6: Final answer
    x = 171,036.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.