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Finding the Third Proportional to 68,535 and 148,710

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Solution

The third proportional to 68,535 and 148,710 is: 322,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535 : 148,710 = 148,710 : x
  2. Step 2: Convert to fraction form
    68,535/148,710 = 148,710/x
  3. Step 3: Cross multiply
    68,535x = 148,710 × 148,710
  4. Step 4: Simplify right side
    68,535x = 22,114,664,100
  5. Step 5: Solve for x
    x = 22,114,664,100/68,535
  6. Step 6: Final answer
    x = 322,676.94

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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.