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Finding the Third Proportional to 34,352 and 71,335

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Solution

The third proportional to 34,352 and 71,335 is: 148,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352 : 71,335 = 71,335 : x
  2. Step 2: Convert to fraction form
    34,352/71,335 = 71,335/x
  3. Step 3: Cross multiply
    34,352x = 71,335 × 71,335
  4. Step 4: Simplify right side
    34,352x = 5,088,682,225
  5. Step 5: Solve for x
    x = 5,088,682,225/34,352
  6. Step 6: Final answer
    x = 148,133.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.