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Finding the Third Proportional to 35,126 and 74,386

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Solution

The third proportional to 35,126 and 74,386 is: 157,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,126 : 74,386 = 74,386 : x
  2. Step 2: Convert to fraction form
    35,126/74,386 = 74,386/x
  3. Step 3: Cross multiply
    35,126x = 74,386 × 74,386
  4. Step 4: Simplify right side
    35,126x = 5,533,276,996
  5. Step 5: Solve for x
    x = 5,533,276,996/35,126
  6. Step 6: Final answer
    x = 157,526.53

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Why These Related Problems?

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