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Finding the Third Proportional to 59,229 and 89,548.50

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Solution

The third proportional to 59,229 and 89,548.50 is: 135,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,229 : 89,548.50 = 89,548.50 : x
  2. Step 2: Convert to fraction form
    59,229/89,548.50 = 89,548.50/x
  3. Step 3: Cross multiply
    59,229x = 89,548.50 × 89,548.50
  4. Step 4: Simplify right side
    59,229x = 8,018,933,852.25
  5. Step 5: Solve for x
    x = 8,018,933,852.25/59,229
  6. Step 6: Final answer
    x = 135,388.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.