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Finding the Third Proportional to 124,390 and 265,042

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Solution

The third proportional to 124,390 and 265,042 is: 564,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,390 : 265,042 = 265,042 : x
  2. Step 2: Convert to fraction form
    124,390/265,042 = 265,042/x
  3. Step 3: Cross multiply
    124,390x = 265,042 × 265,042
  4. Step 4: Simplify right side
    124,390x = 70,247,261,764
  5. Step 5: Solve for x
    x = 70,247,261,764/124,390
  6. Step 6: Final answer
    x = 564,734.00

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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.