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Finding the Third Proportional to 124,705.13 and 272,738.25

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Solution

The third proportional to 124,705.13 and 272,738.25 is: 596,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,705.13 : 272,738.25 = 272,738.25 : x
  2. Step 2: Convert to fraction form
    124,705.13/272,738.25 = 272,738.25/x
  3. Step 3: Cross multiply
    124,705.13x = 272,738.25 × 272,738.25
  4. Step 4: Simplify right side
    124,705.13x = 74,386,153,013.06
  5. Step 5: Solve for x
    x = 74,386,153,013.06/124,705.13
  6. Step 6: Final answer
    x = 596,496.36

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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.