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Finding the Third Proportional to 93,952 and 125,248

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Solution

The third proportional to 93,952 and 125,248 is: 166,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,952 : 125,248 = 125,248 : x
  2. Step 2: Convert to fraction form
    93,952/125,248 = 125,248/x
  3. Step 3: Cross multiply
    93,952x = 125,248 × 125,248
  4. Step 4: Simplify right side
    93,952x = 15,687,061,504
  5. Step 5: Solve for x
    x = 15,687,061,504/93,952
  6. Step 6: Final answer
    x = 166,968.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.