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Finding the Third Proportional to 112,650 and 175,437

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Solution

The third proportional to 112,650 and 175,437 is: 273,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,650 : 175,437 = 175,437 : x
  2. Step 2: Convert to fraction form
    112,650/175,437 = 175,437/x
  3. Step 3: Cross multiply
    112,650x = 175,437 × 175,437
  4. Step 4: Simplify right side
    112,650x = 30,778,140,969
  5. Step 5: Solve for x
    x = 30,778,140,969/112,650
  6. Step 6: Final answer
    x = 273,219.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.