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Finding the Third Proportional to 113,026 and 175,619

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Solution

The third proportional to 113,026 and 175,619 is: 272,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,026 : 175,619 = 175,619 : x
  2. Step 2: Convert to fraction form
    113,026/175,619 = 175,619/x
  3. Step 3: Cross multiply
    113,026x = 175,619 × 175,619
  4. Step 4: Simplify right side
    113,026x = 30,842,033,161
  5. Step 5: Solve for x
    x = 30,842,033,161/113,026
  6. Step 6: Final answer
    x = 272,875.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.