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Finding the Third Proportional to 59,964 and 132,001.50

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Solution

The third proportional to 59,964 and 132,001.50 is: 290,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,964 : 132,001.50 = 132,001.50 : x
  2. Step 2: Convert to fraction form
    59,964/132,001.50 = 132,001.50/x
  3. Step 3: Cross multiply
    59,964x = 132,001.50 × 132,001.50
  4. Step 4: Simplify right side
    59,964x = 17,424,396,002.25
  5. Step 5: Solve for x
    x = 17,424,396,002.25/59,964
  6. Step 6: Final answer
    x = 290,580.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.