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Finding the Third Proportional to 64,363 and 139,448

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Solution

The third proportional to 64,363 and 139,448 is: 302,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,363 : 139,448 = 139,448 : x
  2. Step 2: Convert to fraction form
    64,363/139,448 = 139,448/x
  3. Step 3: Cross multiply
    64,363x = 139,448 × 139,448
  4. Step 4: Simplify right side
    64,363x = 19,445,744,704
  5. Step 5: Solve for x
    x = 19,445,744,704/64,363
  6. Step 6: Final answer
    x = 302,126.14

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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.