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Finding the Third Proportional to 61,551.75 and 133,888.50

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Solution

The third proportional to 61,551.75 and 133,888.50 is: 291,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,551.75 : 133,888.50 = 133,888.50 : x
  2. Step 2: Convert to fraction form
    61,551.75/133,888.50 = 133,888.50/x
  3. Step 3: Cross multiply
    61,551.75x = 133,888.50 × 133,888.50
  4. Step 4: Simplify right side
    61,551.75x = 17,926,130,432.25
  5. Step 5: Solve for x
    x = 17,926,130,432.25/61,551.75
  6. Step 6: Final answer
    x = 291,236.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.