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Finding the Third Proportional to 64,362 and 99,462

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Solution

The third proportional to 64,362 and 99,462 is: 153,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,362 : 99,462 = 99,462 : x
  2. Step 2: Convert to fraction form
    64,362/99,462 = 99,462/x
  3. Step 3: Cross multiply
    64,362x = 99,462 × 99,462
  4. Step 4: Simplify right side
    64,362x = 9,892,689,444
  5. Step 5: Solve for x
    x = 9,892,689,444/64,362
  6. Step 6: Final answer
    x = 153,703.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.