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Finding the Third Proportional to 97,110.50 and 152,594

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Solution

The third proportional to 97,110.50 and 152,594 is: 239,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,110.50 : 152,594 = 152,594 : x
  2. Step 2: Convert to fraction form
    97,110.50/152,594 = 152,594/x
  3. Step 3: Cross multiply
    97,110.50x = 152,594 × 152,594
  4. Step 4: Simplify right side
    97,110.50x = 23,284,928,836
  5. Step 5: Solve for x
    x = 23,284,928,836/97,110.50
  6. Step 6: Final answer
    x = 239,777.66

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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.