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Finding the Third Proportional to 58,700 and 126,526

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Solution

The third proportional to 58,700 and 126,526 is: 272,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,700 : 126,526 = 126,526 : x
  2. Step 2: Convert to fraction form
    58,700/126,526 = 126,526/x
  3. Step 3: Cross multiply
    58,700x = 126,526 × 126,526
  4. Step 4: Simplify right side
    58,700x = 16,008,828,676
  5. Step 5: Solve for x
    x = 16,008,828,676/58,700
  6. Step 6: Final answer
    x = 272,722.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.