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Finding the Third Proportional to 70,548 and 95,706

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Solution

The third proportional to 70,548 and 95,706 is: 129,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,548 : 95,706 = 95,706 : x
  2. Step 2: Convert to fraction form
    70,548/95,706 = 95,706/x
  3. Step 3: Cross multiply
    70,548x = 95,706 × 95,706
  4. Step 4: Simplify right side
    70,548x = 9,159,638,436
  5. Step 5: Solve for x
    x = 9,159,638,436/70,548
  6. Step 6: Final answer
    x = 129,835.55

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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.