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Finding the Third Proportional to 68,295 and 148,254

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Solution

The third proportional to 68,295 and 148,254 is: 321,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,295 : 148,254 = 148,254 : x
  2. Step 2: Convert to fraction form
    68,295/148,254 = 148,254/x
  3. Step 3: Cross multiply
    68,295x = 148,254 × 148,254
  4. Step 4: Simplify right side
    68,295x = 21,979,248,516
  5. Step 5: Solve for x
    x = 21,979,248,516/68,295
  6. Step 6: Final answer
    x = 321,828.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.