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Finding the Third Proportional to 77,282.63 and 162,868.13

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Solution

The third proportional to 77,282.63 and 162,868.13 is: 343,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282.63 : 162,868.13 = 162,868.13 : x
  2. Step 2: Convert to fraction form
    77,282.63/162,868.13 = 162,868.13/x
  3. Step 3: Cross multiply
    77,282.63x = 162,868.13 × 162,868.13
  4. Step 4: Simplify right side
    77,282.63x = 26,526,026,141.02
  5. Step 5: Solve for x
    x = 26,526,026,141.02/77,282.63
  6. Step 6: Final answer
    x = 343,234.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.