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Finding the Third Proportional to 102,768 and 153,732

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Solution

The third proportional to 102,768 and 153,732 is: 229,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,768 : 153,732 = 153,732 : x
  2. Step 2: Convert to fraction form
    102,768/153,732 = 153,732/x
  3. Step 3: Cross multiply
    102,768x = 153,732 × 153,732
  4. Step 4: Simplify right side
    102,768x = 23,633,527,824
  5. Step 5: Solve for x
    x = 23,633,527,824/102,768
  6. Step 6: Final answer
    x = 229,969.72

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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.