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Finding the Third Proportional to 61,120.50 and 97,254.75

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Solution

The third proportional to 61,120.50 and 97,254.75 is: 154,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,120.50 : 97,254.75 = 97,254.75 : x
  2. Step 2: Convert to fraction form
    61,120.50/97,254.75 = 97,254.75/x
  3. Step 3: Cross multiply
    61,120.50x = 97,254.75 × 97,254.75
  4. Step 4: Simplify right side
    61,120.50x = 9,458,486,397.56
  5. Step 5: Solve for x
    x = 9,458,486,397.56/61,120.50
  6. Step 6: Final answer
    x = 154,751.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.