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Finding the Third Proportional to 102,102 and 153,264

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Solution

The third proportional to 102,102 and 153,264 is: 230,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102 : 153,264 = 153,264 : x
  2. Step 2: Convert to fraction form
    102,102/153,264 = 153,264/x
  3. Step 3: Cross multiply
    102,102x = 153,264 × 153,264
  4. Step 4: Simplify right side
    102,102x = 23,489,853,696
  5. Step 5: Solve for x
    x = 23,489,853,696/102,102
  6. Step 6: Final answer
    x = 230,062.62

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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.