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Finding the Third Proportional to 56,403 and 120,582

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Solution

The third proportional to 56,403 and 120,582 is: 257,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,403 : 120,582 = 120,582 : x
  2. Step 2: Convert to fraction form
    56,403/120,582 = 120,582/x
  3. Step 3: Cross multiply
    56,403x = 120,582 × 120,582
  4. Step 4: Simplify right side
    56,403x = 14,540,018,724
  5. Step 5: Solve for x
    x = 14,540,018,724/56,403
  6. Step 6: Final answer
    x = 257,788.04

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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.