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Finding the Third Proportional to 62,924 and 139,834

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Solution

The third proportional to 62,924 and 139,834 is: 310,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,924 : 139,834 = 139,834 : x
  2. Step 2: Convert to fraction form
    62,924/139,834 = 139,834/x
  3. Step 3: Cross multiply
    62,924x = 139,834 × 139,834
  4. Step 4: Simplify right side
    62,924x = 19,553,547,556
  5. Step 5: Solve for x
    x = 19,553,547,556/62,924
  6. Step 6: Final answer
    x = 310,748.64

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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.