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Finding the Third Proportional to 105,088 and 161,529

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Solution

The third proportional to 105,088 and 161,529 is: 248,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,088 : 161,529 = 161,529 : x
  2. Step 2: Convert to fraction form
    105,088/161,529 = 161,529/x
  3. Step 3: Cross multiply
    105,088x = 161,529 × 161,529
  4. Step 4: Simplify right side
    105,088x = 26,091,617,841
  5. Step 5: Solve for x
    x = 26,091,617,841/105,088
  6. Step 6: Final answer
    x = 248,283.51

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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.