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Finding the Third Proportional to 70,428 and 95,919

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Solution

The third proportional to 70,428 and 95,919 is: 130,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,428 : 95,919 = 95,919 : x
  2. Step 2: Convert to fraction form
    70,428/95,919 = 95,919/x
  3. Step 3: Cross multiply
    70,428x = 95,919 × 95,919
  4. Step 4: Simplify right side
    70,428x = 9,200,454,561
  5. Step 5: Solve for x
    x = 9,200,454,561/70,428
  6. Step 6: Final answer
    x = 130,636.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.