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Finding the Third Proportional to 52,306 and 115,169

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Solution

The third proportional to 52,306 and 115,169 is: 253,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306 : 115,169 = 115,169 : x
  2. Step 2: Convert to fraction form
    52,306/115,169 = 115,169/x
  3. Step 3: Cross multiply
    52,306x = 115,169 × 115,169
  4. Step 4: Simplify right side
    52,306x = 13,263,898,561
  5. Step 5: Solve for x
    x = 13,263,898,561/52,306
  6. Step 6: Final answer
    x = 253,582.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.