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Finding the Third Proportional to 58,708 and 109,628

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Solution

The third proportional to 58,708 and 109,628 is: 204,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,708 : 109,628 = 109,628 : x
  2. Step 2: Convert to fraction form
    58,708/109,628 = 109,628/x
  3. Step 3: Cross multiply
    58,708x = 109,628 × 109,628
  4. Step 4: Simplify right side
    58,708x = 12,018,298,384
  5. Step 5: Solve for x
    x = 12,018,298,384/58,708
  6. Step 6: Final answer
    x = 204,713.13

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.