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Finding the Third Proportional to 75,042 and 158,526

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Solution

The third proportional to 75,042 and 158,526 is: 334,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,042 : 158,526 = 158,526 : x
  2. Step 2: Convert to fraction form
    75,042/158,526 = 158,526/x
  3. Step 3: Cross multiply
    75,042x = 158,526 × 158,526
  4. Step 4: Simplify right side
    75,042x = 25,130,492,676
  5. Step 5: Solve for x
    x = 25,130,492,676/75,042
  6. Step 6: Final answer
    x = 334,885.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.