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Finding the Third Proportional to 65,520 and 99,495

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Solution

The third proportional to 65,520 and 99,495 is: 151,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 99,495 = 99,495 : x
  2. Step 2: Convert to fraction form
    65,520/99,495 = 99,495/x
  3. Step 3: Cross multiply
    65,520x = 99,495 × 99,495
  4. Step 4: Simplify right side
    65,520x = 9,899,255,025
  5. Step 5: Solve for x
    x = 9,899,255,025/65,520
  6. Step 6: Final answer
    x = 151,087.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.