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Finding the Third Proportional to 72,984 and 80,664

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Solution

The third proportional to 72,984 and 80,664 is: 89,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,984 : 80,664 = 80,664 : x
  2. Step 2: Convert to fraction form
    72,984/80,664 = 80,664/x
  3. Step 3: Cross multiply
    72,984x = 80,664 × 80,664
  4. Step 4: Simplify right side
    72,984x = 6,506,680,896
  5. Step 5: Solve for x
    x = 6,506,680,896/72,984
  6. Step 6: Final answer
    x = 89,152.16

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.