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Finding the Third Proportional to 64,276 and 139,514

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Solution

The third proportional to 64,276 and 139,514 is: 302,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,276 : 139,514 = 139,514 : x
  2. Step 2: Convert to fraction form
    64,276/139,514 = 139,514/x
  3. Step 3: Cross multiply
    64,276x = 139,514 × 139,514
  4. Step 4: Simplify right side
    64,276x = 19,464,156,196
  5. Step 5: Solve for x
    x = 19,464,156,196/64,276
  6. Step 6: Final answer
    x = 302,821.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.