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Finding the Third Proportional to 124,816 and 272,960

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Solution

The third proportional to 124,816 and 272,960 is: 596,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,816 : 272,960 = 272,960 : x
  2. Step 2: Convert to fraction form
    124,816/272,960 = 272,960/x
  3. Step 3: Cross multiply
    124,816x = 272,960 × 272,960
  4. Step 4: Simplify right side
    124,816x = 74,507,161,600
  5. Step 5: Solve for x
    x = 74,507,161,600/124,816
  6. Step 6: Final answer
    x = 596,935.98

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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.