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Finding the Third Proportional to 124,233 and 175,621.50

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Solution

The third proportional to 124,233 and 175,621.50 is: 248,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,233 : 175,621.50 = 175,621.50 : x
  2. Step 2: Convert to fraction form
    124,233/175,621.50 = 175,621.50/x
  3. Step 3: Cross multiply
    124,233x = 175,621.50 × 175,621.50
  4. Step 4: Simplify right side
    124,233x = 30,842,911,262.25
  5. Step 5: Solve for x
    x = 30,842,911,262.25/124,233
  6. Step 6: Final answer
    x = 248,266.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.