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Finding the Third Proportional to 124,803 and 269,289

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Solution

The third proportional to 124,803 and 269,289 is: 581,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,803 : 269,289 = 269,289 : x
  2. Step 2: Convert to fraction form
    124,803/269,289 = 269,289/x
  3. Step 3: Cross multiply
    124,803x = 269,289 × 269,289
  4. Step 4: Simplify right side
    124,803x = 72,516,565,521
  5. Step 5: Solve for x
    x = 72,516,565,521/124,803
  6. Step 6: Final answer
    x = 581,048.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.