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Finding the Third Proportional to 124,388 and 265,038

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Solution

The third proportional to 124,388 and 265,038 is: 564,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,388 : 265,038 = 265,038 : x
  2. Step 2: Convert to fraction form
    124,388/265,038 = 265,038/x
  3. Step 3: Cross multiply
    124,388x = 265,038 × 265,038
  4. Step 4: Simplify right side
    124,388x = 70,245,141,444
  5. Step 5: Solve for x
    x = 70,245,141,444/124,388
  6. Step 6: Final answer
    x = 564,726.03

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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.