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Finding the Third Proportional to 65,747.81 and 143,866.13

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Solution

The third proportional to 65,747.81 and 143,866.13 is: 314,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,747.81 : 143,866.13 = 143,866.13 : x
  2. Step 2: Convert to fraction form
    65,747.81/143,866.13 = 143,866.13/x
  3. Step 3: Cross multiply
    65,747.81x = 143,866.13 × 143,866.13
  4. Step 4: Simplify right side
    65,747.81x = 20,697,461,922.52
  5. Step 5: Solve for x
    x = 20,697,461,922.52/65,747.81
  6. Step 6: Final answer
    x = 314,800.77

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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.