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Finding the Third Proportional to 46,534 and 74,118

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Solution

The third proportional to 46,534 and 74,118 is: 118,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,534 : 74,118 = 74,118 : x
  2. Step 2: Convert to fraction form
    46,534/74,118 = 74,118/x
  3. Step 3: Cross multiply
    46,534x = 74,118 × 74,118
  4. Step 4: Simplify right side
    46,534x = 5,493,477,924
  5. Step 5: Solve for x
    x = 5,493,477,924/46,534
  6. Step 6: Final answer
    x = 118,052.99

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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.