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Finding the Third Proportional to 35,062 and 77,135

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Solution

The third proportional to 35,062 and 77,135 is: 169,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,062 : 77,135 = 77,135 : x
  2. Step 2: Convert to fraction form
    35,062/77,135 = 77,135/x
  3. Step 3: Cross multiply
    35,062x = 77,135 × 77,135
  4. Step 4: Simplify right side
    35,062x = 5,949,808,225
  5. Step 5: Solve for x
    x = 5,949,808,225/35,062
  6. Step 6: Final answer
    x = 169,693.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.