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Finding the Third Proportional to 70,735 and 152,540

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Solution

The third proportional to 70,735 and 152,540 is: 328,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735 : 152,540 = 152,540 : x
  2. Step 2: Convert to fraction form
    70,735/152,540 = 152,540/x
  3. Step 3: Cross multiply
    70,735x = 152,540 × 152,540
  4. Step 4: Simplify right side
    70,735x = 23,268,451,600
  5. Step 5: Solve for x
    x = 23,268,451,600/70,735
  6. Step 6: Final answer
    x = 328,952.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.