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Finding the Third Proportional to 124,219.50 and 272,017

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Solution

The third proportional to 124,219.50 and 272,017 is: 595,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,219.50 : 272,017 = 272,017 : x
  2. Step 2: Convert to fraction form
    124,219.50/272,017 = 272,017/x
  3. Step 3: Cross multiply
    124,219.50x = 272,017 × 272,017
  4. Step 4: Simplify right side
    124,219.50x = 73,993,248,289
  5. Step 5: Solve for x
    x = 73,993,248,289/124,219.50
  6. Step 6: Final answer
    x = 595,665.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.