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Finding the Third Proportional to 68,651.30 and 141,710.77

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Solution

The third proportional to 68,651.30 and 141,710.77 is: 292,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,651.30 : 141,710.77 = 141,710.77 : x
  2. Step 2: Convert to fraction form
    68,651.30/141,710.77 = 141,710.77/x
  3. Step 3: Cross multiply
    68,651.30x = 141,710.77 × 141,710.77
  4. Step 4: Simplify right side
    68,651.30x = 20,081,941,094.02
  5. Step 5: Solve for x
    x = 20,081,941,094.02/68,651.30
  6. Step 6: Final answer
    x = 292,520.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.