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Finding the Third Proportional to 124,754 and 272,835

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Solution

The third proportional to 124,754 and 272,835 is: 596,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,754 : 272,835 = 272,835 : x
  2. Step 2: Convert to fraction form
    124,754/272,835 = 272,835/x
  3. Step 3: Cross multiply
    124,754x = 272,835 × 272,835
  4. Step 4: Simplify right side
    124,754x = 74,438,937,225
  5. Step 5: Solve for x
    x = 74,438,937,225/124,754
  6. Step 6: Final answer
    x = 596,685.78

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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.