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Finding the Third Proportional to 65,522 and 100,720

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Solution

The third proportional to 65,522 and 100,720 is: 154,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522 : 100,720 = 100,720 : x
  2. Step 2: Convert to fraction form
    65,522/100,720 = 100,720/x
  3. Step 3: Cross multiply
    65,522x = 100,720 × 100,720
  4. Step 4: Simplify right side
    65,522x = 10,144,518,400
  5. Step 5: Solve for x
    x = 10,144,518,400/65,522
  6. Step 6: Final answer
    x = 154,826.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.