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Finding the Third Proportional to 95,407 and 151,038

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Solution

The third proportional to 95,407 and 151,038 is: 239,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,407 : 151,038 = 151,038 : x
  2. Step 2: Convert to fraction form
    95,407/151,038 = 151,038/x
  3. Step 3: Cross multiply
    95,407x = 151,038 × 151,038
  4. Step 4: Simplify right side
    95,407x = 22,812,477,444
  5. Step 5: Solve for x
    x = 22,812,477,444/95,407
  6. Step 6: Final answer
    x = 239,106.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.