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Finding the Third Proportional to 137,071 and 292,238

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Solution

The third proportional to 137,071 and 292,238 is: 623,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071 : 292,238 = 292,238 : x
  2. Step 2: Convert to fraction form
    137,071/292,238 = 292,238/x
  3. Step 3: Cross multiply
    137,071x = 292,238 × 292,238
  4. Step 4: Simplify right side
    137,071x = 85,403,048,644
  5. Step 5: Solve for x
    x = 85,403,048,644/137,071
  6. Step 6: Final answer
    x = 623,057.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.