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Finding the Third Proportional to 95,688 and 140,763

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Solution

The third proportional to 95,688 and 140,763 is: 207,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,688 : 140,763 = 140,763 : x
  2. Step 2: Convert to fraction form
    95,688/140,763 = 140,763/x
  3. Step 3: Cross multiply
    95,688x = 140,763 × 140,763
  4. Step 4: Simplify right side
    95,688x = 19,814,222,169
  5. Step 5: Solve for x
    x = 19,814,222,169/95,688
  6. Step 6: Final answer
    x = 207,071.13

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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.