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Finding the Third Proportional to 70,569 and 109,741.50

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Solution

The third proportional to 70,569 and 109,741.50 is: 170,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,569 : 109,741.50 = 109,741.50 : x
  2. Step 2: Convert to fraction form
    70,569/109,741.50 = 109,741.50/x
  3. Step 3: Cross multiply
    70,569x = 109,741.50 × 109,741.50
  4. Step 4: Simplify right side
    70,569x = 12,043,196,822.25
  5. Step 5: Solve for x
    x = 12,043,196,822.25/70,569
  6. Step 6: Final answer
    x = 170,658.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.