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Finding the Third Proportional to 77,331 and 116,202

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Solution

The third proportional to 77,331 and 116,202 is: 174,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331 : 116,202 = 116,202 : x
  2. Step 2: Convert to fraction form
    77,331/116,202 = 116,202/x
  3. Step 3: Cross multiply
    77,331x = 116,202 × 116,202
  4. Step 4: Simplify right side
    77,331x = 13,502,904,804
  5. Step 5: Solve for x
    x = 13,502,904,804/77,331
  6. Step 6: Final answer
    x = 174,611.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.