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Finding the Third Proportional to 96,052 and 140,964

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Solution

The third proportional to 96,052 and 140,964 is: 206,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,052 : 140,964 = 140,964 : x
  2. Step 2: Convert to fraction form
    96,052/140,964 = 140,964/x
  3. Step 3: Cross multiply
    96,052x = 140,964 × 140,964
  4. Step 4: Simplify right side
    96,052x = 19,870,849,296
  5. Step 5: Solve for x
    x = 19,870,849,296/96,052
  6. Step 6: Final answer
    x = 206,875.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.