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Finding the Third Proportional to 96,626 and 130,169

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Solution

The third proportional to 96,626 and 130,169 is: 175,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626 : 130,169 = 130,169 : x
  2. Step 2: Convert to fraction form
    96,626/130,169 = 130,169/x
  3. Step 3: Cross multiply
    96,626x = 130,169 × 130,169
  4. Step 4: Simplify right side
    96,626x = 16,943,968,561
  5. Step 5: Solve for x
    x = 16,943,968,561/96,626
  6. Step 6: Final answer
    x = 175,356.20

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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.