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Finding the Third Proportional to 124,576 and 272,335

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Solution

The third proportional to 124,576 and 272,335 is: 595,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,576 : 272,335 = 272,335 : x
  2. Step 2: Convert to fraction form
    124,576/272,335 = 272,335/x
  3. Step 3: Cross multiply
    124,576x = 272,335 × 272,335
  4. Step 4: Simplify right side
    124,576x = 74,166,352,225
  5. Step 5: Solve for x
    x = 74,166,352,225/124,576
  6. Step 6: Final answer
    x = 595,350.25

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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.