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Finding the Third Proportional to 71,352 and 147,024

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Solution

The third proportional to 71,352 and 147,024 is: 302,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352 : 147,024 = 147,024 : x
  2. Step 2: Convert to fraction form
    71,352/147,024 = 147,024/x
  3. Step 3: Cross multiply
    71,352x = 147,024 × 147,024
  4. Step 4: Simplify right side
    71,352x = 21,616,056,576
  5. Step 5: Solve for x
    x = 21,616,056,576/71,352
  6. Step 6: Final answer
    x = 302,949.55

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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.