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Finding the Third Proportional to 78,023 and 168,925

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Solution

The third proportional to 78,023 and 168,925 is: 365,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023 : 168,925 = 168,925 : x
  2. Step 2: Convert to fraction form
    78,023/168,925 = 168,925/x
  3. Step 3: Cross multiply
    78,023x = 168,925 × 168,925
  4. Step 4: Simplify right side
    78,023x = 28,535,655,625
  5. Step 5: Solve for x
    x = 28,535,655,625/78,023
  6. Step 6: Final answer
    x = 365,733.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.