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Finding the Third Proportional to 70,057 and 96,335.50

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Solution

The third proportional to 70,057 and 96,335.50 is: 132,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,057 : 96,335.50 = 96,335.50 : x
  2. Step 2: Convert to fraction form
    70,057/96,335.50 = 96,335.50/x
  3. Step 3: Cross multiply
    70,057x = 96,335.50 × 96,335.50
  4. Step 4: Simplify right side
    70,057x = 9,280,528,560.25
  5. Step 5: Solve for x
    x = 9,280,528,560.25/70,057
  6. Step 6: Final answer
    x = 132,471.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.