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Finding the Third Proportional to 64,262 and 139,251

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Solution

The third proportional to 64,262 and 139,251 is: 301,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,262 : 139,251 = 139,251 : x
  2. Step 2: Convert to fraction form
    64,262/139,251 = 139,251/x
  3. Step 3: Cross multiply
    64,262x = 139,251 × 139,251
  4. Step 4: Simplify right side
    64,262x = 19,390,841,001
  5. Step 5: Solve for x
    x = 19,390,841,001/64,262
  6. Step 6: Final answer
    x = 301,746.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.