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Finding the Third Proportional to 124,532 and 194,574

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Solution

The third proportional to 124,532 and 194,574 is: 304,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,532 : 194,574 = 194,574 : x
  2. Step 2: Convert to fraction form
    124,532/194,574 = 194,574/x
  3. Step 3: Cross multiply
    124,532x = 194,574 × 194,574
  4. Step 4: Simplify right side
    124,532x = 37,859,041,476
  5. Step 5: Solve for x
    x = 37,859,041,476/124,532
  6. Step 6: Final answer
    x = 304,010.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.