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Finding the Third Proportional to 124,970 and 269,623

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Solution

The third proportional to 124,970 and 269,623 is: 581,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,970 : 269,623 = 269,623 : x
  2. Step 2: Convert to fraction form
    124,970/269,623 = 269,623/x
  3. Step 3: Cross multiply
    124,970x = 269,623 × 269,623
  4. Step 4: Simplify right side
    124,970x = 72,696,562,129
  5. Step 5: Solve for x
    x = 72,696,562,129/124,970
  6. Step 6: Final answer
    x = 581,712.11

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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.