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Finding the Third Proportional to 35,352 and 74,112

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Solution

The third proportional to 35,352 and 74,112 is: 155,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,352 : 74,112 = 74,112 : x
  2. Step 2: Convert to fraction form
    35,352/74,112 = 74,112/x
  3. Step 3: Cross multiply
    35,352x = 74,112 × 74,112
  4. Step 4: Simplify right side
    35,352x = 5,492,588,544
  5. Step 5: Solve for x
    x = 5,492,588,544/35,352
  6. Step 6: Final answer
    x = 155,368.54

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Why These Related Problems?

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