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Finding the Third Proportional to 63,462 and 93,345

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Solution

The third proportional to 63,462 and 93,345 is: 137,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,462 : 93,345 = 93,345 : x
  2. Step 2: Convert to fraction form
    63,462/93,345 = 93,345/x
  3. Step 3: Cross multiply
    63,462x = 93,345 × 93,345
  4. Step 4: Simplify right side
    63,462x = 8,713,289,025
  5. Step 5: Solve for x
    x = 8,713,289,025/63,462
  6. Step 6: Final answer
    x = 137,299.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.