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Finding the Third Proportional to 104,480 and 156,719

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Solution

The third proportional to 104,480 and 156,719 is: 235,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,480 : 156,719 = 156,719 : x
  2. Step 2: Convert to fraction form
    104,480/156,719 = 156,719/x
  3. Step 3: Cross multiply
    104,480x = 156,719 × 156,719
  4. Step 4: Simplify right side
    104,480x = 24,560,844,961
  5. Step 5: Solve for x
    x = 24,560,844,961/104,480
  6. Step 6: Final answer
    x = 235,077.00

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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.