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Finding the Third Proportional to 68,158.50 and 148,953

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Solution

The third proportional to 68,158.50 and 148,953 is: 325,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158.50 : 148,953 = 148,953 : x
  2. Step 2: Convert to fraction form
    68,158.50/148,953 = 148,953/x
  3. Step 3: Cross multiply
    68,158.50x = 148,953 × 148,953
  4. Step 4: Simplify right side
    68,158.50x = 22,186,996,209
  5. Step 5: Solve for x
    x = 22,186,996,209/68,158.50
  6. Step 6: Final answer
    x = 325,520.61

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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.