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Finding the Third Proportional to 63,148 and 139,471

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Solution

The third proportional to 63,148 and 139,471 is: 308,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,148 : 139,471 = 139,471 : x
  2. Step 2: Convert to fraction form
    63,148/139,471 = 139,471/x
  3. Step 3: Cross multiply
    63,148x = 139,471 × 139,471
  4. Step 4: Simplify right side
    63,148x = 19,452,159,841
  5. Step 5: Solve for x
    x = 19,452,159,841/63,148
  6. Step 6: Final answer
    x = 308,040.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.