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Finding the Third Proportional to 76,533 and 167,835

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Solution

The third proportional to 76,533 and 167,835 is: 368,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,533 : 167,835 = 167,835 : x
  2. Step 2: Convert to fraction form
    76,533/167,835 = 167,835/x
  3. Step 3: Cross multiply
    76,533x = 167,835 × 167,835
  4. Step 4: Simplify right side
    76,533x = 28,168,587,225
  5. Step 5: Solve for x
    x = 28,168,587,225/76,533
  6. Step 6: Final answer
    x = 368,058.06

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