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Finding the Third Proportional to 70,428 and 96,569

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Solution

The third proportional to 70,428 and 96,569 is: 132,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,428 : 96,569 = 96,569 : x
  2. Step 2: Convert to fraction form
    70,428/96,569 = 96,569/x
  3. Step 3: Cross multiply
    70,428x = 96,569 × 96,569
  4. Step 4: Simplify right side
    70,428x = 9,325,571,761
  5. Step 5: Solve for x
    x = 9,325,571,761/70,428
  6. Step 6: Final answer
    x = 132,412.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.