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Finding the Third Proportional to 72,481 and 115,309

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Solution

The third proportional to 72,481 and 115,309 is: 183,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,481 : 115,309 = 115,309 : x
  2. Step 2: Convert to fraction form
    72,481/115,309 = 115,309/x
  3. Step 3: Cross multiply
    72,481x = 115,309 × 115,309
  4. Step 4: Simplify right side
    72,481x = 13,296,165,481
  5. Step 5: Solve for x
    x = 13,296,165,481/72,481
  6. Step 6: Final answer
    x = 183,443.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.