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Finding the Third Proportional to 46,106 and 71,207

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Solution

The third proportional to 46,106 and 71,207 is: 109,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,106 : 71,207 = 71,207 : x
  2. Step 2: Convert to fraction form
    46,106/71,207 = 71,207/x
  3. Step 3: Cross multiply
    46,106x = 71,207 × 71,207
  4. Step 4: Simplify right side
    46,106x = 5,070,436,849
  5. Step 5: Solve for x
    x = 5,070,436,849/46,106
  6. Step 6: Final answer
    x = 109,973.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.