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Finding the Third Proportional to 46,159 and 72,317

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Solution

The third proportional to 46,159 and 72,317 is: 113,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,159 : 72,317 = 72,317 : x
  2. Step 2: Convert to fraction form
    46,159/72,317 = 72,317/x
  3. Step 3: Cross multiply
    46,159x = 72,317 × 72,317
  4. Step 4: Simplify right side
    46,159x = 5,229,748,489
  5. Step 5: Solve for x
    x = 5,229,748,489/46,159
  6. Step 6: Final answer
    x = 113,298.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.