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Finding the Third Proportional to 93,831 and 145,507

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Solution

The third proportional to 93,831 and 145,507 is: 225,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,831 : 145,507 = 145,507 : x
  2. Step 2: Convert to fraction form
    93,831/145,507 = 145,507/x
  3. Step 3: Cross multiply
    93,831x = 145,507 × 145,507
  4. Step 4: Simplify right side
    93,831x = 21,172,287,049
  5. Step 5: Solve for x
    x = 21,172,287,049/93,831
  6. Step 6: Final answer
    x = 225,642.77

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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.