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Finding the Third Proportional to 112,531 and 265,637

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Solution

The third proportional to 112,531 and 265,637 is: 627,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,531 : 265,637 = 265,637 : x
  2. Step 2: Convert to fraction form
    112,531/265,637 = 265,637/x
  3. Step 3: Cross multiply
    112,531x = 265,637 × 265,637
  4. Step 4: Simplify right side
    112,531x = 70,563,015,769
  5. Step 5: Solve for x
    x = 70,563,015,769/112,531
  6. Step 6: Final answer
    x = 627,054.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.