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Finding the Third Proportional to 59,958 and 132,421.50

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Solution

The third proportional to 59,958 and 132,421.50 is: 292,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,958 : 132,421.50 = 132,421.50 : x
  2. Step 2: Convert to fraction form
    59,958/132,421.50 = 132,421.50/x
  3. Step 3: Cross multiply
    59,958x = 132,421.50 × 132,421.50
  4. Step 4: Simplify right side
    59,958x = 17,535,453,662.25
  5. Step 5: Solve for x
    x = 17,535,453,662.25/59,958
  6. Step 6: Final answer
    x = 292,462.28

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.