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Finding the Third Proportional to 93,726 and 202,423

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Solution

The third proportional to 93,726 and 202,423 is: 437,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,726 : 202,423 = 202,423 : x
  2. Step 2: Convert to fraction form
    93,726/202,423 = 202,423/x
  3. Step 3: Cross multiply
    93,726x = 202,423 × 202,423
  4. Step 4: Simplify right side
    93,726x = 40,975,070,929
  5. Step 5: Solve for x
    x = 40,975,070,929/93,726
  6. Step 6: Final answer
    x = 437,179.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.