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Finding the Third Proportional to 57,429 and 89,059.50

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Solution

The third proportional to 57,429 and 89,059.50 is: 138,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429 : 89,059.50 = 89,059.50 : x
  2. Step 2: Convert to fraction form
    57,429/89,059.50 = 89,059.50/x
  3. Step 3: Cross multiply
    57,429x = 89,059.50 × 89,059.50
  4. Step 4: Simplify right side
    57,429x = 7,931,594,540.25
  5. Step 5: Solve for x
    x = 7,931,594,540.25/57,429
  6. Step 6: Final answer
    x = 138,111.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.