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Finding the Third Proportional to 78,220 and 106,272

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Solution

The third proportional to 78,220 and 106,272 is: 144,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,220 : 106,272 = 106,272 : x
  2. Step 2: Convert to fraction form
    78,220/106,272 = 106,272/x
  3. Step 3: Cross multiply
    78,220x = 106,272 × 106,272
  4. Step 4: Simplify right side
    78,220x = 11,293,737,984
  5. Step 5: Solve for x
    x = 11,293,737,984/78,220
  6. Step 6: Final answer
    x = 144,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.