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Finding the Third Proportional to 65,407.50 and 141,273

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Solution

The third proportional to 65,407.50 and 141,273 is: 305,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.50 : 141,273 = 141,273 : x
  2. Step 2: Convert to fraction form
    65,407.50/141,273 = 141,273/x
  3. Step 3: Cross multiply
    65,407.50x = 141,273 × 141,273
  4. Step 4: Simplify right side
    65,407.50x = 19,958,060,529
  5. Step 5: Solve for x
    x = 19,958,060,529/65,407.50
  6. Step 6: Final answer
    x = 305,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.