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Finding the Third Proportional to 76,657 and 167,565

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Solution

The third proportional to 76,657 and 167,565 is: 366,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,657 : 167,565 = 167,565 : x
  2. Step 2: Convert to fraction form
    76,657/167,565 = 167,565/x
  3. Step 3: Cross multiply
    76,657x = 167,565 × 167,565
  4. Step 4: Simplify right side
    76,657x = 28,078,029,225
  5. Step 5: Solve for x
    x = 28,078,029,225/76,657
  6. Step 6: Final answer
    x = 366,281.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.