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Finding the Third Proportional to 124,472 and 191,322

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Solution

The third proportional to 124,472 and 191,322 is: 294,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,472 : 191,322 = 191,322 : x
  2. Step 2: Convert to fraction form
    124,472/191,322 = 191,322/x
  3. Step 3: Cross multiply
    124,472x = 191,322 × 191,322
  4. Step 4: Simplify right side
    124,472x = 36,604,107,684
  5. Step 5: Solve for x
    x = 36,604,107,684/124,472
  6. Step 6: Final answer
    x = 294,075.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.