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Finding the Third Proportional to 96,717 and 143,230.50

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Solution

The third proportional to 96,717 and 143,230.50 is: 212,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,717 : 143,230.50 = 143,230.50 : x
  2. Step 2: Convert to fraction form
    96,717/143,230.50 = 143,230.50/x
  3. Step 3: Cross multiply
    96,717x = 143,230.50 × 143,230.50
  4. Step 4: Simplify right side
    96,717x = 20,514,976,130.25
  5. Step 5: Solve for x
    x = 20,514,976,130.25/96,717
  6. Step 6: Final answer
    x = 212,113.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.