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Finding the Third Proportional to 68,253 and 105,297

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Solution

The third proportional to 68,253 and 105,297 is: 162,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,253 : 105,297 = 105,297 : x
  2. Step 2: Convert to fraction form
    68,253/105,297 = 105,297/x
  3. Step 3: Cross multiply
    68,253x = 105,297 × 105,297
  4. Step 4: Simplify right side
    68,253x = 11,087,458,209
  5. Step 5: Solve for x
    x = 11,087,458,209/68,253
  6. Step 6: Final answer
    x = 162,446.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.