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Finding the Third Proportional to 96,632 and 130,178

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Solution

The third proportional to 96,632 and 130,178 is: 175,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,632 : 130,178 = 130,178 : x
  2. Step 2: Convert to fraction form
    96,632/130,178 = 130,178/x
  3. Step 3: Cross multiply
    96,632x = 130,178 × 130,178
  4. Step 4: Simplify right side
    96,632x = 16,946,311,684
  5. Step 5: Solve for x
    x = 16,946,311,684/96,632
  6. Step 6: Final answer
    x = 175,369.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.