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Finding the Third Proportional to 56,594 and 124,420

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Solution

The third proportional to 56,594 and 124,420 is: 273,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,594 : 124,420 = 124,420 : x
  2. Step 2: Convert to fraction form
    56,594/124,420 = 124,420/x
  3. Step 3: Cross multiply
    56,594x = 124,420 × 124,420
  4. Step 4: Simplify right side
    56,594x = 15,480,336,400
  5. Step 5: Solve for x
    x = 15,480,336,400/56,594
  6. Step 6: Final answer
    x = 273,533.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.