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Finding the Third Proportional to 124,784 and 272,896

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Solution

The third proportional to 124,784 and 272,896 is: 596,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,784 : 272,896 = 272,896 : x
  2. Step 2: Convert to fraction form
    124,784/272,896 = 272,896/x
  3. Step 3: Cross multiply
    124,784x = 272,896 × 272,896
  4. Step 4: Simplify right side
    124,784x = 74,472,226,816
  5. Step 5: Solve for x
    x = 74,472,226,816/124,784
  6. Step 6: Final answer
    x = 596,809.10

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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.