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Finding the Third Proportional to 124,362 and 271,490

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Solution

The third proportional to 124,362 and 271,490 is: 592,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,362 : 271,490 = 271,490 : x
  2. Step 2: Convert to fraction form
    124,362/271,490 = 271,490/x
  3. Step 3: Cross multiply
    124,362x = 271,490 × 271,490
  4. Step 4: Simplify right side
    124,362x = 73,706,820,100
  5. Step 5: Solve for x
    x = 73,706,820,100/124,362
  6. Step 6: Final answer
    x = 592,679.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.