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Finding the Third Proportional to 70,502 and 147,922

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Solution

The third proportional to 70,502 and 147,922 is: 310,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502 : 147,922 = 147,922 : x
  2. Step 2: Convert to fraction form
    70,502/147,922 = 147,922/x
  3. Step 3: Cross multiply
    70,502x = 147,922 × 147,922
  4. Step 4: Simplify right side
    70,502x = 21,880,918,084
  5. Step 5: Solve for x
    x = 21,880,918,084/70,502
  6. Step 6: Final answer
    x = 310,358.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.