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Finding the Third Proportional to 71,355 and 147,030

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Solution

The third proportional to 71,355 and 147,030 is: 302,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,355 : 147,030 = 147,030 : x
  2. Step 2: Convert to fraction form
    71,355/147,030 = 147,030/x
  3. Step 3: Cross multiply
    71,355x = 147,030 × 147,030
  4. Step 4: Simplify right side
    71,355x = 21,617,820,900
  5. Step 5: Solve for x
    x = 21,617,820,900/71,355
  6. Step 6: Final answer
    x = 302,961.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.