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Finding the Third Proportional to 70,502 and 152,620

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Solution

The third proportional to 70,502 and 152,620 is: 330,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502 : 152,620 = 152,620 : x
  2. Step 2: Convert to fraction form
    70,502/152,620 = 152,620/x
  3. Step 3: Cross multiply
    70,502x = 152,620 × 152,620
  4. Step 4: Simplify right side
    70,502x = 23,292,864,400
  5. Step 5: Solve for x
    x = 23,292,864,400/70,502
  6. Step 6: Final answer
    x = 330,385.87

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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.