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Finding the Third Proportional to 46,208 and 69,730

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Solution

The third proportional to 46,208 and 69,730 is: 105,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,208 : 69,730 = 69,730 : x
  2. Step 2: Convert to fraction form
    46,208/69,730 = 69,730/x
  3. Step 3: Cross multiply
    46,208x = 69,730 × 69,730
  4. Step 4: Simplify right side
    46,208x = 4,862,272,900
  5. Step 5: Solve for x
    x = 4,862,272,900/46,208
  6. Step 6: Final answer
    x = 105,225.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.