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Finding the Third Proportional to 68,080 and 148,784

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Solution

The third proportional to 68,080 and 148,784 is: 325,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,080 : 148,784 = 148,784 : x
  2. Step 2: Convert to fraction form
    68,080/148,784 = 148,784/x
  3. Step 3: Cross multiply
    68,080x = 148,784 × 148,784
  4. Step 4: Simplify right side
    68,080x = 22,136,678,656
  5. Step 5: Solve for x
    x = 22,136,678,656/68,080
  6. Step 6: Final answer
    x = 325,156.85

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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.