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Finding the Third Proportional to 104,263.88 and 172,570.50

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Solution

The third proportional to 104,263.88 and 172,570.50 is: 285,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,263.88 : 172,570.50 = 172,570.50 : x
  2. Step 2: Convert to fraction form
    104,263.88/172,570.50 = 172,570.50/x
  3. Step 3: Cross multiply
    104,263.88x = 172,570.50 × 172,570.50
  4. Step 4: Simplify right side
    104,263.88x = 29,780,577,470.25
  5. Step 5: Solve for x
    x = 29,780,577,470.25/104,263.88
  6. Step 6: Final answer
    x = 285,627.00

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.