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Finding the Third Proportional to 115,128 and 154,548

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Solution

The third proportional to 115,128 and 154,548 is: 207,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,128 : 154,548 = 154,548 : x
  2. Step 2: Convert to fraction form
    115,128/154,548 = 154,548/x
  3. Step 3: Cross multiply
    115,128x = 154,548 × 154,548
  4. Step 4: Simplify right side
    115,128x = 23,885,084,304
  5. Step 5: Solve for x
    x = 23,885,084,304/115,128
  6. Step 6: Final answer
    x = 207,465.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.