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Finding the Third Proportional to 65,234 and 99,957

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Solution

The third proportional to 65,234 and 99,957 is: 153,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234 : 99,957 = 99,957 : x
  2. Step 2: Convert to fraction form
    65,234/99,957 = 99,957/x
  3. Step 3: Cross multiply
    65,234x = 99,957 × 99,957
  4. Step 4: Simplify right side
    65,234x = 9,991,401,849
  5. Step 5: Solve for x
    x = 9,991,401,849/65,234
  6. Step 6: Final answer
    x = 153,162.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.