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Finding the Third Proportional to 65,970 and 144,037.50

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Solution

The third proportional to 65,970 and 144,037.50 is: 314,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970 : 144,037.50 = 144,037.50 : x
  2. Step 2: Convert to fraction form
    65,970/144,037.50 = 144,037.50/x
  3. Step 3: Cross multiply
    65,970x = 144,037.50 × 144,037.50
  4. Step 4: Simplify right side
    65,970x = 20,746,801,406.25
  5. Step 5: Solve for x
    x = 20,746,801,406.25/65,970
  6. Step 6: Final answer
    x = 314,488.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.