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Finding the Third Proportional to 124,598 and 265,506

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Solution

The third proportional to 124,598 and 265,506 is: 565,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,598 : 265,506 = 265,506 : x
  2. Step 2: Convert to fraction form
    124,598/265,506 = 265,506/x
  3. Step 3: Cross multiply
    124,598x = 265,506 × 265,506
  4. Step 4: Simplify right side
    124,598x = 70,493,436,036
  5. Step 5: Solve for x
    x = 70,493,436,036/124,598
  6. Step 6: Final answer
    x = 565,766.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.