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Finding the Third Proportional to 86,304 and 130,080

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Solution

The third proportional to 86,304 and 130,080 is: 196,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,304 : 130,080 = 130,080 : x
  2. Step 2: Convert to fraction form
    86,304/130,080 = 130,080/x
  3. Step 3: Cross multiply
    86,304x = 130,080 × 130,080
  4. Step 4: Simplify right side
    86,304x = 16,920,806,400
  5. Step 5: Solve for x
    x = 16,920,806,400/86,304
  6. Step 6: Final answer
    x = 196,060.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.