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Finding the Third Proportional to 46,759 and 72,437

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Solution

The third proportional to 46,759 and 72,437 is: 112,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,759 : 72,437 = 72,437 : x
  2. Step 2: Convert to fraction form
    46,759/72,437 = 72,437/x
  3. Step 3: Cross multiply
    46,759x = 72,437 × 72,437
  4. Step 4: Simplify right side
    46,759x = 5,247,118,969
  5. Step 5: Solve for x
    x = 5,247,118,969/46,759
  6. Step 6: Final answer
    x = 112,216.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.