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Finding the Third Proportional to 46,699 and 71,127

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Solution

The third proportional to 46,699 and 71,127 is: 108,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699 : 71,127 = 71,127 : x
  2. Step 2: Convert to fraction form
    46,699/71,127 = 71,127/x
  3. Step 3: Cross multiply
    46,699x = 71,127 × 71,127
  4. Step 4: Simplify right side
    46,699x = 5,059,050,129
  5. Step 5: Solve for x
    x = 5,059,050,129/46,699
  6. Step 6: Final answer
    x = 108,333.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.