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Finding the Third Proportional to 78,607 and 111,119

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Solution

The third proportional to 78,607 and 111,119 is: 157,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,607 : 111,119 = 111,119 : x
  2. Step 2: Convert to fraction form
    78,607/111,119 = 111,119/x
  3. Step 3: Cross multiply
    78,607x = 111,119 × 111,119
  4. Step 4: Simplify right side
    78,607x = 12,347,432,161
  5. Step 5: Solve for x
    x = 12,347,432,161/78,607
  6. Step 6: Final answer
    x = 157,078.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.