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Finding the Third Proportional to 65,931.75 and 145,309.50

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Solution

The third proportional to 65,931.75 and 145,309.50 is: 320,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,931.75 : 145,309.50 = 145,309.50 : x
  2. Step 2: Convert to fraction form
    65,931.75/145,309.50 = 145,309.50/x
  3. Step 3: Cross multiply
    65,931.75x = 145,309.50 × 145,309.50
  4. Step 4: Simplify right side
    65,931.75x = 21,114,850,790.25
  5. Step 5: Solve for x
    x = 21,114,850,790.25/65,931.75
  6. Step 6: Final answer
    x = 320,253.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.