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Finding the Third Proportional to 63,179 and 137,428

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Solution

The third proportional to 63,179 and 137,428 is: 298,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,179 : 137,428 = 137,428 : x
  2. Step 2: Convert to fraction form
    63,179/137,428 = 137,428/x
  3. Step 3: Cross multiply
    63,179x = 137,428 × 137,428
  4. Step 4: Simplify right side
    63,179x = 18,886,455,184
  5. Step 5: Solve for x
    x = 18,886,455,184/63,179
  6. Step 6: Final answer
    x = 298,935.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.