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Finding the Third Proportional to 92,460 and 142,608

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Solution

The third proportional to 92,460 and 142,608 is: 219,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,460 : 142,608 = 142,608 : x
  2. Step 2: Convert to fraction form
    92,460/142,608 = 142,608/x
  3. Step 3: Cross multiply
    92,460x = 142,608 × 142,608
  4. Step 4: Simplify right side
    92,460x = 20,337,041,664
  5. Step 5: Solve for x
    x = 20,337,041,664/92,460
  6. Step 6: Final answer
    x = 219,955.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.