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Finding the Third Proportional to 102,464 and 153,696

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Solution

The third proportional to 102,464 and 153,696 is: 230,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464 : 153,696 = 153,696 : x
  2. Step 2: Convert to fraction form
    102,464/153,696 = 153,696/x
  3. Step 3: Cross multiply
    102,464x = 153,696 × 153,696
  4. Step 4: Simplify right side
    102,464x = 23,622,460,416
  5. Step 5: Solve for x
    x = 23,622,460,416/102,464
  6. Step 6: Final answer
    x = 230,544

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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.