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Finding the Third Proportional to 63,146 and 138,184

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Solution

The third proportional to 63,146 and 138,184 is: 302,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,146 : 138,184 = 138,184 : x
  2. Step 2: Convert to fraction form
    63,146/138,184 = 138,184/x
  3. Step 3: Cross multiply
    63,146x = 138,184 × 138,184
  4. Step 4: Simplify right side
    63,146x = 19,094,817,856
  5. Step 5: Solve for x
    x = 19,094,817,856/63,146
  6. Step 6: Final answer
    x = 302,391.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.