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Finding the Third Proportional to 112,535 and 245,981

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Solution

The third proportional to 112,535 and 245,981 is: 537,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,535 : 245,981 = 245,981 : x
  2. Step 2: Convert to fraction form
    112,535/245,981 = 245,981/x
  3. Step 3: Cross multiply
    112,535x = 245,981 × 245,981
  4. Step 4: Simplify right side
    112,535x = 60,506,652,361
  5. Step 5: Solve for x
    x = 60,506,652,361/112,535
  6. Step 6: Final answer
    x = 537,669.63

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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.