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Finding the Third Proportional to 72,417 and 115,179

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Solution

The third proportional to 72,417 and 115,179 is: 183,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,417 : 115,179 = 115,179 : x
  2. Step 2: Convert to fraction form
    72,417/115,179 = 115,179/x
  3. Step 3: Cross multiply
    72,417x = 115,179 × 115,179
  4. Step 4: Simplify right side
    72,417x = 13,266,202,041
  5. Step 5: Solve for x
    x = 13,266,202,041/72,417
  6. Step 6: Final answer
    x = 183,191.82

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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.