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Finding the Third Proportional to 68,114.63 and 148,490.25

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Solution

The third proportional to 68,114.63 and 148,490.25 is: 323,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.63 : 148,490.25 = 148,490.25 : x
  2. Step 2: Convert to fraction form
    68,114.63/148,490.25 = 148,490.25/x
  3. Step 3: Cross multiply
    68,114.63x = 148,490.25 × 148,490.25
  4. Step 4: Simplify right side
    68,114.63x = 22,049,354,345.06
  5. Step 5: Solve for x
    x = 22,049,354,345.06/68,114.63
  6. Step 6: Final answer
    x = 323,709.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.