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Finding the Third Proportional to 70,724 and 152,518

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Solution

The third proportional to 70,724 and 152,518 is: 328,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724 : 152,518 = 152,518 : x
  2. Step 2: Convert to fraction form
    70,724/152,518 = 152,518/x
  3. Step 3: Cross multiply
    70,724x = 152,518 × 152,518
  4. Step 4: Simplify right side
    70,724x = 23,261,740,324
  5. Step 5: Solve for x
    x = 23,261,740,324/70,724
  6. Step 6: Final answer
    x = 328,908.72

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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.