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Finding the Third Proportional to 35,290 and 75,502

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Solution

The third proportional to 35,290 and 75,502 is: 161,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,290 : 75,502 = 75,502 : x
  2. Step 2: Convert to fraction form
    35,290/75,502 = 75,502/x
  3. Step 3: Cross multiply
    35,290x = 75,502 × 75,502
  4. Step 4: Simplify right side
    35,290x = 5,700,552,004
  5. Step 5: Solve for x
    x = 5,700,552,004/35,290
  6. Step 6: Final answer
    x = 161,534.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.