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Finding the Third Proportional to 68,253 and 103,335

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Solution

The third proportional to 68,253 and 103,335 is: 156,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,253 : 103,335 = 103,335 : x
  2. Step 2: Convert to fraction form
    68,253/103,335 = 103,335/x
  3. Step 3: Cross multiply
    68,253x = 103,335 × 103,335
  4. Step 4: Simplify right side
    68,253x = 10,678,122,225
  5. Step 5: Solve for x
    x = 10,678,122,225/68,253
  6. Step 6: Final answer
    x = 156,449.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.