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Finding the Third Proportional to 65,416 and 139,392

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Solution

The third proportional to 65,416 and 139,392 is: 297,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,416 : 139,392 = 139,392 : x
  2. Step 2: Convert to fraction form
    65,416/139,392 = 139,392/x
  3. Step 3: Cross multiply
    65,416x = 139,392 × 139,392
  4. Step 4: Simplify right side
    65,416x = 19,430,129,664
  5. Step 5: Solve for x
    x = 19,430,129,664/65,416
  6. Step 6: Final answer
    x = 297,024.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.