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Finding the Third Proportional to 64,368 and 138,174

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Solution

The third proportional to 64,368 and 138,174 is: 296,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,368 : 138,174 = 138,174 : x
  2. Step 2: Convert to fraction form
    64,368/138,174 = 138,174/x
  3. Step 3: Cross multiply
    64,368x = 138,174 × 138,174
  4. Step 4: Simplify right side
    64,368x = 19,092,054,276
  5. Step 5: Solve for x
    x = 19,092,054,276/64,368
  6. Step 6: Final answer
    x = 296,607.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.