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Finding the Third Proportional to 35,113.50 and 74,358

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Solution

The third proportional to 35,113.50 and 74,358 is: 157,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,113.50 : 74,358 = 74,358 : x
  2. Step 2: Convert to fraction form
    35,113.50/74,358 = 74,358/x
  3. Step 3: Cross multiply
    35,113.50x = 74,358 × 74,358
  4. Step 4: Simplify right side
    35,113.50x = 5,529,112,164
  5. Step 5: Solve for x
    x = 5,529,112,164/35,113.50
  6. Step 6: Final answer
    x = 157,464

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.