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Finding the Third Proportional to 56,358 and 120,714

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Solution

The third proportional to 56,358 and 120,714 is: 258,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358 : 120,714 = 120,714 : x
  2. Step 2: Convert to fraction form
    56,358/120,714 = 120,714/x
  3. Step 3: Cross multiply
    56,358x = 120,714 × 120,714
  4. Step 4: Simplify right side
    56,358x = 14,571,869,796
  5. Step 5: Solve for x
    x = 14,571,869,796/56,358
  6. Step 6: Final answer
    x = 258,559.03

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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.