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Finding the Third Proportional to 56,448 and 120,664

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Solution

The third proportional to 56,448 and 120,664 is: 257,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,448 : 120,664 = 120,664 : x
  2. Step 2: Convert to fraction form
    56,448/120,664 = 120,664/x
  3. Step 3: Cross multiply
    56,448x = 120,664 × 120,664
  4. Step 4: Simplify right side
    56,448x = 14,559,800,896
  5. Step 5: Solve for x
    x = 14,559,800,896/56,448
  6. Step 6: Final answer
    x = 257,932.98

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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.