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Finding the Third Proportional to 72,440 and 106,492

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Solution

The third proportional to 72,440 and 106,492 is: 156,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,440 : 106,492 = 106,492 : x
  2. Step 2: Convert to fraction form
    72,440/106,492 = 106,492/x
  3. Step 3: Cross multiply
    72,440x = 106,492 × 106,492
  4. Step 4: Simplify right side
    72,440x = 11,340,546,064
  5. Step 5: Solve for x
    x = 11,340,546,064/72,440
  6. Step 6: Final answer
    x = 156,550.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.