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Finding the Third Proportional to 80,053 and 125,574.50

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Solution

The third proportional to 80,053 and 125,574.50 is: 196,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,053 : 125,574.50 = 125,574.50 : x
  2. Step 2: Convert to fraction form
    80,053/125,574.50 = 125,574.50/x
  3. Step 3: Cross multiply
    80,053x = 125,574.50 × 125,574.50
  4. Step 4: Simplify right side
    80,053x = 15,768,955,050.25
  5. Step 5: Solve for x
    x = 15,768,955,050.25/80,053
  6. Step 6: Final answer
    x = 196,981.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.