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Finding the Third Proportional to 68,536 and 147,248

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Solution

The third proportional to 68,536 and 147,248 is: 316,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536 : 147,248 = 147,248 : x
  2. Step 2: Convert to fraction form
    68,536/147,248 = 147,248/x
  3. Step 3: Cross multiply
    68,536x = 147,248 × 147,248
  4. Step 4: Simplify right side
    68,536x = 21,681,973,504
  5. Step 5: Solve for x
    x = 21,681,973,504/68,536
  6. Step 6: Final answer
    x = 316,358.90

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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.