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Finding the Third Proportional to 63,690 and 95,695.50

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Solution

The third proportional to 63,690 and 95,695.50 is: 143,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,690 : 95,695.50 = 95,695.50 : x
  2. Step 2: Convert to fraction form
    63,690/95,695.50 = 95,695.50/x
  3. Step 3: Cross multiply
    63,690x = 95,695.50 × 95,695.50
  4. Step 4: Simplify right side
    63,690x = 9,157,628,720.25
  5. Step 5: Solve for x
    x = 9,157,628,720.25/63,690
  6. Step 6: Final answer
    x = 143,784.40

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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.