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Finding the Third Proportional to 35,248 and 74,180

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Solution

The third proportional to 35,248 and 74,180 is: 156,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,248 : 74,180 = 74,180 : x
  2. Step 2: Convert to fraction form
    35,248/74,180 = 74,180/x
  3. Step 3: Cross multiply
    35,248x = 74,180 × 74,180
  4. Step 4: Simplify right side
    35,248x = 5,502,672,400
  5. Step 5: Solve for x
    x = 5,502,672,400/35,248
  6. Step 6: Final answer
    x = 156,113.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.