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Finding the Third Proportional to 86,912 and 130,368

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Solution

The third proportional to 86,912 and 130,368 is: 195,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,912 : 130,368 = 130,368 : x
  2. Step 2: Convert to fraction form
    86,912/130,368 = 130,368/x
  3. Step 3: Cross multiply
    86,912x = 130,368 × 130,368
  4. Step 4: Simplify right side
    86,912x = 16,995,815,424
  5. Step 5: Solve for x
    x = 16,995,815,424/86,912
  6. Step 6: Final answer
    x = 195,552

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.