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Finding the Third Proportional to 61,017 and 146,815.50

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Solution

The third proportional to 61,017 and 146,815.50 is: 353,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,017 : 146,815.50 = 146,815.50 : x
  2. Step 2: Convert to fraction form
    61,017/146,815.50 = 146,815.50/x
  3. Step 3: Cross multiply
    61,017x = 146,815.50 × 146,815.50
  4. Step 4: Simplify right side
    61,017x = 21,554,791,040.25
  5. Step 5: Solve for x
    x = 21,554,791,040.25/61,017
  6. Step 6: Final answer
    x = 353,258.78

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.