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Finding the Third Proportional to 65,352 and 143,157

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Solution

The third proportional to 65,352 and 143,157 is: 313,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,352 : 143,157 = 143,157 : x
  2. Step 2: Convert to fraction form
    65,352/143,157 = 143,157/x
  3. Step 3: Cross multiply
    65,352x = 143,157 × 143,157
  4. Step 4: Simplify right side
    65,352x = 20,493,926,649
  5. Step 5: Solve for x
    x = 20,493,926,649/65,352
  6. Step 6: Final answer
    x = 313,592.95

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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.