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Finding the Third Proportional to 103,964.63 and 156,686.06

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Solution

The third proportional to 103,964.63 and 156,686.06 is: 236,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,964.63 : 156,686.06 = 156,686.06 : x
  2. Step 2: Convert to fraction form
    103,964.63/156,686.06 = 156,686.06/x
  3. Step 3: Cross multiply
    103,964.63x = 156,686.06 × 156,686.06
  4. Step 4: Simplify right side
    103,964.63x = 24,550,522,181.75
  5. Step 5: Solve for x
    x = 24,550,522,181.75/103,964.63
  6. Step 6: Final answer
    x = 236,143.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.