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Finding the Third Proportional to 97,113 and 152,595

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Solution

The third proportional to 97,113 and 152,595 is: 239,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,113 : 152,595 = 152,595 : x
  2. Step 2: Convert to fraction form
    97,113/152,595 = 152,595/x
  3. Step 3: Cross multiply
    97,113x = 152,595 × 152,595
  4. Step 4: Simplify right side
    97,113x = 23,285,234,025
  5. Step 5: Solve for x
    x = 23,285,234,025/97,113
  6. Step 6: Final answer
    x = 239,774.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.