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Finding the Third Proportional to 68,056 and 102,160

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Solution

The third proportional to 68,056 and 102,160 is: 153,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,056 : 102,160 = 102,160 : x
  2. Step 2: Convert to fraction form
    68,056/102,160 = 102,160/x
  3. Step 3: Cross multiply
    68,056x = 102,160 × 102,160
  4. Step 4: Simplify right side
    68,056x = 10,436,665,600
  5. Step 5: Solve for x
    x = 10,436,665,600/68,056
  6. Step 6: Final answer
    x = 153,354.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.