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Finding the Third Proportional to 65,234.63 and 100,798.88

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Solution

The third proportional to 65,234.63 and 100,798.88 is: 155,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.63 : 100,798.88 = 100,798.88 : x
  2. Step 2: Convert to fraction form
    65,234.63/100,798.88 = 100,798.88/x
  3. Step 3: Cross multiply
    65,234.63x = 100,798.88 × 100,798.88
  4. Step 4: Simplify right side
    65,234.63x = 10,160,413,201.27
  5. Step 5: Solve for x
    x = 10,160,413,201.27/65,234.63
  6. Step 6: Final answer
    x = 155,751.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.