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Finding the Third Proportional to 112,259 and 245,659

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Solution

The third proportional to 112,259 and 245,659 is: 537,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,259 : 245,659 = 245,659 : x
  2. Step 2: Convert to fraction form
    112,259/245,659 = 245,659/x
  3. Step 3: Cross multiply
    112,259x = 245,659 × 245,659
  4. Step 4: Simplify right side
    112,259x = 60,348,344,281
  5. Step 5: Solve for x
    x = 60,348,344,281/112,259
  6. Step 6: Final answer
    x = 537,581.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.