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Finding the Third Proportional to 124,525.13 and 269,689.50

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Solution

The third proportional to 124,525.13 and 269,689.50 is: 584,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,525.13 : 269,689.50 = 269,689.50 : x
  2. Step 2: Convert to fraction form
    124,525.13/269,689.50 = 269,689.50/x
  3. Step 3: Cross multiply
    124,525.13x = 269,689.50 × 269,689.50
  4. Step 4: Simplify right side
    124,525.13x = 72,732,426,410.25
  5. Step 5: Solve for x
    x = 72,732,426,410.25/124,525.13
  6. Step 6: Final answer
    x = 584,078.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.