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Finding the Third Proportional to 124,210.49 and 272,078.07

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Solution

The third proportional to 124,210.49 and 272,078.07 is: 595,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,210.49 : 272,078.07 = 272,078.07 : x
  2. Step 2: Convert to fraction form
    124,210.49/272,078.07 = 272,078.07/x
  3. Step 3: Cross multiply
    124,210.49x = 272,078.07 × 272,078.07
  4. Step 4: Simplify right side
    124,210.49x = 74,026,476,477.82
  5. Step 5: Solve for x
    x = 74,026,476,477.82/124,210.49
  6. Step 6: Final answer
    x = 595,976.02

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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.