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Finding the Third Proportional to 159,748 and 175,108

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Solution

The third proportional to 159,748 and 175,108 is: 191,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,748 : 175,108 = 175,108 : x
  2. Step 2: Convert to fraction form
    159,748/175,108 = 175,108/x
  3. Step 3: Cross multiply
    159,748x = 175,108 × 175,108
  4. Step 4: Simplify right side
    159,748x = 30,662,811,664
  5. Step 5: Solve for x
    x = 30,662,811,664/159,748
  6. Step 6: Final answer
    x = 191,944.89

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.