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Finding the Third Proportional to 56,427 and 120,628

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Solution

The third proportional to 56,427 and 120,628 is: 257,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,427 : 120,628 = 120,628 : x
  2. Step 2: Convert to fraction form
    56,427/120,628 = 120,628/x
  3. Step 3: Cross multiply
    56,427x = 120,628 × 120,628
  4. Step 4: Simplify right side
    56,427x = 14,551,114,384
  5. Step 5: Solve for x
    x = 14,551,114,384/56,427
  6. Step 6: Final answer
    x = 257,875.03

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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.