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Finding the Third Proportional to 45,972 and 100,557

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Solution

The third proportional to 45,972 and 100,557 is: 219,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,972 : 100,557 = 100,557 : x
  2. Step 2: Convert to fraction form
    45,972/100,557 = 100,557/x
  3. Step 3: Cross multiply
    45,972x = 100,557 × 100,557
  4. Step 4: Simplify right side
    45,972x = 10,111,710,249
  5. Step 5: Solve for x
    x = 10,111,710,249/45,972
  6. Step 6: Final answer
    x = 219,953.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.