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Finding the Third Proportional to 72,196 and 115,206

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Solution

The third proportional to 72,196 and 115,206 is: 183,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196 : 115,206 = 115,206 : x
  2. Step 2: Convert to fraction form
    72,196/115,206 = 115,206/x
  3. Step 3: Cross multiply
    72,196x = 115,206 × 115,206
  4. Step 4: Simplify right side
    72,196x = 13,272,422,436
  5. Step 5: Solve for x
    x = 13,272,422,436/72,196
  6. Step 6: Final answer
    x = 183,838.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.