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Finding the Third Proportional to 98,760 and 152,964

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Solution

The third proportional to 98,760 and 152,964 is: 236,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,760 : 152,964 = 152,964 : x
  2. Step 2: Convert to fraction form
    98,760/152,964 = 152,964/x
  3. Step 3: Cross multiply
    98,760x = 152,964 × 152,964
  4. Step 4: Simplify right side
    98,760x = 23,397,985,296
  5. Step 5: Solve for x
    x = 23,397,985,296/98,760
  6. Step 6: Final answer
    x = 236,917.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.