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Finding the Third Proportional to 78,264 and 121,236

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Solution

The third proportional to 78,264 and 121,236 is: 187,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,264 : 121,236 = 121,236 : x
  2. Step 2: Convert to fraction form
    78,264/121,236 = 121,236/x
  3. Step 3: Cross multiply
    78,264x = 121,236 × 121,236
  4. Step 4: Simplify right side
    78,264x = 14,698,167,696
  5. Step 5: Solve for x
    x = 14,698,167,696/78,264
  6. Step 6: Final answer
    x = 187,802.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.