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Finding the Third Proportional to 77,202 and 169,182

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Solution

The third proportional to 77,202 and 169,182 is: 370,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,202 : 169,182 = 169,182 : x
  2. Step 2: Convert to fraction form
    77,202/169,182 = 169,182/x
  3. Step 3: Cross multiply
    77,202x = 169,182 × 169,182
  4. Step 4: Simplify right side
    77,202x = 28,622,549,124
  5. Step 5: Solve for x
    x = 28,622,549,124/77,202
  6. Step 6: Final answer
    x = 370,748.80

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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.