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Finding the Third Proportional to 95,142 and 148,160

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Solution

The third proportional to 95,142 and 148,160 is: 230,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,142 : 148,160 = 148,160 : x
  2. Step 2: Convert to fraction form
    95,142/148,160 = 148,160/x
  3. Step 3: Cross multiply
    95,142x = 148,160 × 148,160
  4. Step 4: Simplify right side
    95,142x = 21,951,385,600
  5. Step 5: Solve for x
    x = 21,951,385,600/95,142
  6. Step 6: Final answer
    x = 230,722.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.