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Finding the Third Proportional to 100,504 and 156,290

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Solution

The third proportional to 100,504 and 156,290 is: 243,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504 : 156,290 = 156,290 : x
  2. Step 2: Convert to fraction form
    100,504/156,290 = 156,290/x
  3. Step 3: Cross multiply
    100,504x = 156,290 × 156,290
  4. Step 4: Simplify right side
    100,504x = 24,426,564,100
  5. Step 5: Solve for x
    x = 24,426,564,100/100,504
  6. Step 6: Final answer
    x = 243,040.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.