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Finding the Third Proportional to 67,765.50 and 101,457

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Solution

The third proportional to 67,765.50 and 101,457 is: 151,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,765.50 : 101,457 = 101,457 : x
  2. Step 2: Convert to fraction form
    67,765.50/101,457 = 101,457/x
  3. Step 3: Cross multiply
    67,765.50x = 101,457 × 101,457
  4. Step 4: Simplify right side
    67,765.50x = 10,293,522,849
  5. Step 5: Solve for x
    x = 10,293,522,849/67,765.50
  6. Step 6: Final answer
    x = 151,899.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.