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Finding the Third Proportional to 102,125 and 153,327

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Solution

The third proportional to 102,125 and 153,327 is: 230,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125 : 153,327 = 153,327 : x
  2. Step 2: Convert to fraction form
    102,125/153,327 = 153,327/x
  3. Step 3: Cross multiply
    102,125x = 153,327 × 153,327
  4. Step 4: Simplify right side
    102,125x = 23,509,168,929
  5. Step 5: Solve for x
    x = 23,509,168,929/102,125
  6. Step 6: Final answer
    x = 230,199.94

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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.