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Finding the Third Proportional to 125,024 and 277,696

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Solution

The third proportional to 125,024 and 277,696 is: 616,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,024 : 277,696 = 277,696 : x
  2. Step 2: Convert to fraction form
    125,024/277,696 = 277,696/x
  3. Step 3: Cross multiply
    125,024x = 277,696 × 277,696
  4. Step 4: Simplify right side
    125,024x = 77,115,068,416
  5. Step 5: Solve for x
    x = 77,115,068,416/125,024
  6. Step 6: Final answer
    x = 616,802.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.