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Finding the Third Proportional to 70,486 and 152,053

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Solution

The third proportional to 70,486 and 152,053 is: 328,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486 : 152,053 = 152,053 : x
  2. Step 2: Convert to fraction form
    70,486/152,053 = 152,053/x
  3. Step 3: Cross multiply
    70,486x = 152,053 × 152,053
  4. Step 4: Simplify right side
    70,486x = 23,120,114,809
  5. Step 5: Solve for x
    x = 23,120,114,809/70,486
  6. Step 6: Final answer
    x = 328,010.03

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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.