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Finding the Third Proportional to 46,707 and 74,356

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Solution

The third proportional to 46,707 and 74,356 is: 118,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,707 : 74,356 = 74,356 : x
  2. Step 2: Convert to fraction form
    46,707/74,356 = 74,356/x
  3. Step 3: Cross multiply
    46,707x = 74,356 × 74,356
  4. Step 4: Simplify right side
    46,707x = 5,528,814,736
  5. Step 5: Solve for x
    x = 5,528,814,736/46,707
  6. Step 6: Final answer
    x = 118,372.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.