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Finding the Third Proportional to 68,532 and 148,248

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Solution

The third proportional to 68,532 and 148,248 is: 320,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532 : 148,248 = 148,248 : x
  2. Step 2: Convert to fraction form
    68,532/148,248 = 148,248/x
  3. Step 3: Cross multiply
    68,532x = 148,248 × 148,248
  4. Step 4: Simplify right side
    68,532x = 21,977,469,504
  5. Step 5: Solve for x
    x = 21,977,469,504/68,532
  6. Step 6: Final answer
    x = 320,689.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.