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Finding the Third Proportional to 56,378 and 120,532

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Solution

The third proportional to 56,378 and 120,532 is: 257,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378 : 120,532 = 120,532 : x
  2. Step 2: Convert to fraction form
    56,378/120,532 = 120,532/x
  3. Step 3: Cross multiply
    56,378x = 120,532 × 120,532
  4. Step 4: Simplify right side
    56,378x = 14,527,963,024
  5. Step 5: Solve for x
    x = 14,527,963,024/56,378
  6. Step 6: Final answer
    x = 257,688.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.