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Finding the Third Proportional to 49,560 and 79,798.50

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Solution

The third proportional to 49,560 and 79,798.50 is: 128,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,560 : 79,798.50 = 79,798.50 : x
  2. Step 2: Convert to fraction form
    49,560/79,798.50 = 79,798.50/x
  3. Step 3: Cross multiply
    49,560x = 79,798.50 × 79,798.50
  4. Step 4: Simplify right side
    49,560x = 6,367,800,602.25
  5. Step 5: Solve for x
    x = 6,367,800,602.25/49,560
  6. Step 6: Final answer
    x = 128,486.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.