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Finding the Third Proportional to 76,657 and 168,437

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Solution

The third proportional to 76,657 and 168,437 is: 370,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,657 : 168,437 = 168,437 : x
  2. Step 2: Convert to fraction form
    76,657/168,437 = 168,437/x
  3. Step 3: Cross multiply
    76,657x = 168,437 × 168,437
  4. Step 4: Simplify right side
    76,657x = 28,371,022,969
  5. Step 5: Solve for x
    x = 28,371,022,969/76,657
  6. Step 6: Final answer
    x = 370,103.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.