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Finding the Third Proportional to 65,829.75 and 144,160.50

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Solution

The third proportional to 65,829.75 and 144,160.50 is: 315,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829.75 : 144,160.50 = 144,160.50 : x
  2. Step 2: Convert to fraction form
    65,829.75/144,160.50 = 144,160.50/x
  3. Step 3: Cross multiply
    65,829.75x = 144,160.50 × 144,160.50
  4. Step 4: Simplify right side
    65,829.75x = 20,782,249,760.25
  5. Step 5: Solve for x
    x = 20,782,249,760.25/65,829.75
  6. Step 6: Final answer
    x = 315,696.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.