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Finding the Third Proportional to 52,613 and 112,628

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Solution

The third proportional to 52,613 and 112,628 is: 241,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,613 : 112,628 = 112,628 : x
  2. Step 2: Convert to fraction form
    52,613/112,628 = 112,628/x
  3. Step 3: Cross multiply
    52,613x = 112,628 × 112,628
  4. Step 4: Simplify right side
    52,613x = 12,685,066,384
  5. Step 5: Solve for x
    x = 12,685,066,384/52,613
  6. Step 6: Final answer
    x = 241,101.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.