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Finding the Third Proportional to 70,056 and 96,335

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Solution

The third proportional to 70,056 and 96,335 is: 132,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,056 : 96,335 = 96,335 : x
  2. Step 2: Convert to fraction form
    70,056/96,335 = 96,335/x
  3. Step 3: Cross multiply
    70,056x = 96,335 × 96,335
  4. Step 4: Simplify right side
    70,056x = 9,280,432,225
  5. Step 5: Solve for x
    x = 9,280,432,225/70,056
  6. Step 6: Final answer
    x = 132,471.63

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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.