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Finding the Third Proportional to 70,492 and 152,600

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Solution

The third proportional to 70,492 and 152,600 is: 330,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492 : 152,600 = 152,600 : x
  2. Step 2: Convert to fraction form
    70,492/152,600 = 152,600/x
  3. Step 3: Cross multiply
    70,492x = 152,600 × 152,600
  4. Step 4: Simplify right side
    70,492x = 23,286,760,000
  5. Step 5: Solve for x
    x = 23,286,760,000/70,492
  6. Step 6: Final answer
    x = 330,346.14

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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.