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Finding the Third Proportional to 70,722 and 152,514

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Solution

The third proportional to 70,722 and 152,514 is: 328,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,722 : 152,514 = 152,514 : x
  2. Step 2: Convert to fraction form
    70,722/152,514 = 152,514/x
  3. Step 3: Cross multiply
    70,722x = 152,514 × 152,514
  4. Step 4: Simplify right side
    70,722x = 23,260,520,196
  5. Step 5: Solve for x
    x = 23,260,520,196/70,722
  6. Step 6: Final answer
    x = 328,900.77

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