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Finding the Third Proportional to 70,160 and 107,328

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Solution

The third proportional to 70,160 and 107,328 is: 164,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160 : 107,328 = 107,328 : x
  2. Step 2: Convert to fraction form
    70,160/107,328 = 107,328/x
  3. Step 3: Cross multiply
    70,160x = 107,328 × 107,328
  4. Step 4: Simplify right side
    70,160x = 11,519,299,584
  5. Step 5: Solve for x
    x = 11,519,299,584/70,160
  6. Step 6: Final answer
    x = 164,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.