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Finding the Third Proportional to 68,178 and 146,070

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Solution

The third proportional to 68,178 and 146,070 is: 312,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178 : 146,070 = 146,070 : x
  2. Step 2: Convert to fraction form
    68,178/146,070 = 146,070/x
  3. Step 3: Cross multiply
    68,178x = 146,070 × 146,070
  4. Step 4: Simplify right side
    68,178x = 21,336,444,900
  5. Step 5: Solve for x
    x = 21,336,444,900/68,178
  6. Step 6: Final answer
    x = 312,952.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.