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Finding the Third Proportional to 92,884 and 153,673

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Solution

The third proportional to 92,884 and 153,673 is: 254,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,884 : 153,673 = 153,673 : x
  2. Step 2: Convert to fraction form
    92,884/153,673 = 153,673/x
  3. Step 3: Cross multiply
    92,884x = 153,673 × 153,673
  4. Step 4: Simplify right side
    92,884x = 23,615,390,929
  5. Step 5: Solve for x
    x = 23,615,390,929/92,884
  6. Step 6: Final answer
    x = 254,246.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.