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Finding the Third Proportional to 78,196 and 125,905

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Solution

The third proportional to 78,196 and 125,905 is: 202,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,196 : 125,905 = 125,905 : x
  2. Step 2: Convert to fraction form
    78,196/125,905 = 125,905/x
  3. Step 3: Cross multiply
    78,196x = 125,905 × 125,905
  4. Step 4: Simplify right side
    78,196x = 15,852,069,025
  5. Step 5: Solve for x
    x = 15,852,069,025/78,196
  6. Step 6: Final answer
    x = 202,722.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.