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Finding the Third Proportional to 53,159 and 72,226

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Solution

The third proportional to 53,159 and 72,226 is: 98,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,159 : 72,226 = 72,226 : x
  2. Step 2: Convert to fraction form
    53,159/72,226 = 72,226/x
  3. Step 3: Cross multiply
    53,159x = 72,226 × 72,226
  4. Step 4: Simplify right side
    53,159x = 5,216,595,076
  5. Step 5: Solve for x
    x = 5,216,595,076/53,159
  6. Step 6: Final answer
    x = 98,131.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.