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Finding the Third Proportional to 96,000 and 149,430

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Solution

The third proportional to 96,000 and 149,430 is: 232,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000 : 149,430 = 149,430 : x
  2. Step 2: Convert to fraction form
    96,000/149,430 = 149,430/x
  3. Step 3: Cross multiply
    96,000x = 149,430 × 149,430
  4. Step 4: Simplify right side
    96,000x = 22,329,324,900
  5. Step 5: Solve for x
    x = 22,329,324,900/96,000
  6. Step 6: Final answer
    x = 232,597.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.